Main Branches

Downloads  Installation  Overview  Data Libraries  Packages  Documentation  Contacts  FAQ  GAP 3 

141 publications using GAP published in 2007

[A07] Abdollahi, A., Engel graph associated with a group, J. Algebra, 318 (2) (2007), 680–691.

[AAS07] Abdollahi, A., Ashraf, F., and Shaker, S. M., The symmetric group of degree six can be covered by 13 and no fewer proper subgroups, Bull. Malays. Math. Sci. Soc. (2), 30 (1) (2007), 57–58.

[AJ07] Abdollahi, A. and Jafarian Amiri, S. M., On groups with an irredundant 7-cover, J. Pure Appl. Algebra, 209 (2) (2007), 291–300.

[AJH07] Abdollahi, A., Jafarian Amiri, S. M., and Hassanabadi, A. M., Groups with specific number of centralizers, Houston J. Math., 33 (1) (2007), 43–57.

[AG07] Aguglia, A. and Giuzzi, L., Orthogonal arrays from Hermitian varieties, Innov. Incidence Geom., 5 (2007), 129–144.

[A07] Ali, F., On the ranks of O'N and Ly, Discrete Appl. Math., 155 (3) (2007), 394–399.

[A07] Ali, F., The Fischer-Clifford matrices of a maximal subgroup of the sporadic simple group of Held, Algebra Colloq., 14 (1) (2007), 135–142.

[AHH07] An, J., Himstedt, F., and Huang, S., Uno's invariant conjecture for Steinberg's triality groups in defining characteristic, J. Algebra, 316 (1) (2007), 79–108.

[AF07] Andruskiewitsch, N. and Fantino, F., On pointed Hopf algebras associated with alternating and dihedral groups, Rev. Un. Mat. Argentina, 48 (3) (2007), 57–71 (2008).

[ACC07] Artal Bartolo, E., Carmona Ruber, J., and Cogolludo Agustín, J. I., Effective invariants of braid monodromy, Trans. Amer. Math. Soc., 359 (1) (2007), 165–183.

[A07] Asaeda, M., Galois groups and an obstruction to principal graphs of subfactors, Internat. J. Math., 18 (2) (2007), 191–202.

[AE07] Assmann, B. and Eick, B., Testing polycyclicity of finitely generated rational matrix groups, Math. Comp., 76 (259) (2007), 1669–1682.

[AL07] Assmann, B. and Linton, S., Using the Malʹcev correspondence for collection in polycyclic groups, J. Algebra, 316 (2) (2007), 828–848.

[BK07] Bagiński, C. and Konovalov, A., The modular isomorphism problem for finite $p$-groups with a cyclic subgroup of index $p^2$, in Groups St. Andrews 2005. Vol. 1, Cambridge Univ. Press, Cambridge, London Math. Soc. Lecture Note Ser., 339 (2007), 186–193.

[BD07] Bailey, R. F. and Dixon, J. P., Distance enumerators for permutation groups, Comm. Algebra, 35 (10) (2007), 3045–3051.

[B07] Balogh, Z., Further results on a filtered multiplicative basis of group algebras, Math. Commun., 12 (2) (2007), 229–238.

[BL07] Balogh, Z. and Li, Y., On the derived length of the group of units of a group algebra, J. Algebra Appl., 6 (6) (2007), 991–999.

[BW07] Barraclough, R. W. and Wilson, R. A., The character table of a maximal subgroup of the Monster, LMS J. Comput. Math., 10 (2007), 161–175.

[BB07] Bartholdi, L. and Bush, M. R., Maximal unramified 3-extensions of imaginary quadratic fields and $\rm SL_2(\Bbb Z_3)$, J. Number Theory, 124 (1) (2007), 159–166.

[BB+07] Bates, C., Bundy, D., Hart, S., and Rowley, P., Commuting involution graphs for sporadic simple groups, J. Algebra, 316 (2) (2007), 849–868.

[BDG07] Baur, K., Draisma, J., and de Graaf, W. A., Secant dimensions of minimal orbits: computations and conjectures, Experiment. Math., 16 (2) (2007), 239–250.

[BKK07] Beidar, K. I., Ke, W., and Kiechle, H., Automorphisms of certain design groups. II, J. Algebra, 313 (2) (2007), 672–686.

[BR07] Beidleman, J. C. and Ragland, M. F., The intersection map of subgroups and certain classes of finite groups, Ric. Mat., 56 (2) (2007), 217–227.

[BKS07] Bovdi, V. A., Konovalov, A. B., and Siciliano, S., Integral group ring of the Mathieu simple group $M_12$, Rend. Circ. Mat. Palermo (2), 56 (1) (2007), 125–136.

[BK07] Bovdi, V. and Konovalov, A., Integral group ring of the first Mathieu simple group, in Groups St. Andrews 2005. Vol. 1, Cambridge Univ. Press, Cambridge, London Math. Soc. Lecture Note Ser., 339 (2007), 237–245.

[BD07] Breda d'Azevedo, A. and Duarte, R., Bipartite-uniform hypermaps on the sphere, Electron. J. Combin., 14 (1) (2007), Research Paper 5, 20.

[BFG07] Bretto, A., Faisant, A., and Gillibert, L., $G$-graphs: a new representation of groups, J. Symbolic Comput., 42 (5) (2007), 549–560.

[BW07] Broughton, S. A. and Wootton, A., Finite abelian subgroups of the mapping class group, Algebr. Geom. Topol., 7 (2007), 1651–1697.

[B07] Brunat, O., On Lusztig's conjecture for connected and disconnected exceptional groups, J. Algebra, 316 (1) (2007), 303–325.

[BG07] Brundan, J. and Goodwin, S. M., Good grading polytopes, Proc. Lond. Math. Soc. (3), 94 (1) (2007), 155–180.

[B07] Burness, T. C., Fixed point ratios in actions in finite classical groups. II, J. Algebra, 309 (1) (2007), 80–138.

[B07] Burness, T. C., Fixed point ratios in actions of finite classical groups. I, J. Algebra, 309 (1) (2007), 69–79.

[B07] Burness, T. C., Fixed point ratios in actions of finite classical groups. III, J. Algebra, 314 (2) (2007), 693–748.

[B07] Burness, T. C., Fixed point ratios in actions of finite classical groups. IV, J. Algebra, 314 (2) (2007), 749–788.

[CCS07] Cameron, P., Cilleruelo, J., and Serra, O., On monochromatic solutions of equations in groups, Rev. Mat. Iberoam., 23 (1) (2007), 385–395.

[CR07] Cameron, P. J. and Rudvalis, A., A design and a geometry for the group $\rm Fi_22$, Des. Codes Cryptogr., 44 (1-3) (2007), 11–14.

[CS07] Cameron, P. J. and Soicher, L. H., Block intersection polynomials, Bull. Lond. Math. Soc., 39 (4) (2007), 559–564.

[CH+07] Campbell, C. M., Havas, G., Ramsay, C., and Robertson, E. F., On the efficiency of the simple groups of order less than a million and their covers, Experiment. Math., 16 (3) (2007), 347–358.

[C07] Campbell, P. S., Steinberg characters for Chevalley groups over finite local rings, J. Algebra, 313 (2) (2007), 486–530.

[CM07] Carlip, W. and Mincheva, M., Component growth of iteration graphs under the squaring map modulo $p^k$, Fibonacci Quart., 45 (3) (2007), 239–246 (2008).

[CS07] Carlip, W. and Somer, L., Primitive Lucas $d$-pseudoprimes and Carmichael-Lucas numbers, Colloq. Math., 108 (1) (2007), 73–92.

[C07] Curran, M. J., Direct products with abelian automorphism groups, Comm. Algebra, 35 (1) (2007), 389–397.

[C07] Curran, M. J., The automorphism group of a split metacyclic 2-group, Arch. Math. (Basel), 89 (1) (2007), 10–23.

[D07] Dabbaghian-Abdoly, V., Characters of some finite groups of Lie type with a restriction containing a linear character once, J. Algebra, 309 (2) (2007), 543–558.

[D07] Dabbaghian-Abdoly, V., Constructing representations of higher degrees of finite simple groups and covers, Math. Comp., 76 (259) (2007), 1661–1668.

[DM07] De Beule, J. and Metsch, K., The maximum size of a partial spread in $H(5,q^2)$ is $q^3+1$, J. Combin. Theory Ser. A, 114 (4) (2007), 761–768.

[G07] de Graaf, W. A., Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2, J. Algebra, 309 (2) (2007), 640–653.

[DR07] Dixon, J. D. and Rahnamai Barghi, A., Irreducible characters which are zero on only one conjugacy class, Proc. Amer. Math. Soc., 135 (1) (2007), 41–45.

[DPS07] Dobcsányi, P., Preece, D. A., and Soicher, L. H., On balanced incomplete-block designs with repeated blocks, European J. Combin., 28 (7) (2007), 1955–1970.

[D07] Ðoković, D. Ž., Poincaré series of some pure and mixed trace algebras of two generic matrices, J. Algebra, 309 (2) (2007), 654–671.

[DM07] Donaldson, A. F. and Miller, A., Extending Symmetry Reduction Techniques to a Realistic Model of Computation, Electr. Notes Theor. Compt. Sci., 185 (2007), 63–76.

[DER07] Dutour, M., Erdahl, R., and Rybnikov, K., Perfect Delaunay polytopes in low dimensions, Integers, 7 (2007), A39, 49.

[DIP07] Dutour Sikirić, M., Itoh, Y., and Poyarkov, A., Cube packings, second moment and holes, European J. Combin., 28 (3) (2007), 715–725.

[E07] Eisermann, M., Knot colouring polynomials, Pacific J. Math., 231 (2) (2007), 305–336.

[FLW07] Fang, X. G., Li, C. H., and Wang, J., Finite vertex primitive 2-arc regular graphs, J. Algebraic Combin., 25 (2) (2007), 125–140.

[FGV07] Freyre, S., Graña, M., and Vendramin, L., On Nichols algebras over $\rm SL(2,\Bbb F_q)$ and $\rm GL(2,\Bbb F_q)$, J. Math. Phys., 48 (12) (2007), 123513, 11.

[GMS07] Gavioli, N., Monti, V., and Scoppola, C. M., Soluble normally constrained pro-$p$-groups, J. Group Theory, 10 (3) (2007), 321–345.

[G07] Giudici, M., New constructions of groups without semiregular subgroups, Comm. Algebra, 35 (9) (2007), 2719–2730.

[GL+07] Giudici, M., Li, C. H., Praeger, C. E., Seress, Á., and Trofimov, V. I., On limit graphs of finite vertex-primitive graphs, J. Combin. Theory Ser. A, 114 (1) (2007), 110–134.

[GHN07] Gramlich, R., Horn, M., and Nickel, W., Odd-dimensional orthogonal groups as amalgams of unitary groups. II. Machine computations, J. Algebra, 316 (2) (2007), 591–607.

[GAE07] Gross, D., Audenaert, K., and Eisert, J., Evenly distributed unitaries: on the structure of unitary designs, J. Math. Phys., 48 (5) (2007), 052104, 22.

[HPS07] Held, D., Pavčević, M., and Schmidt, M., A series of finite groups and related symmetric designs, Glas. Mat. Ser. III, 42(62) (2) (2007), 257–272.

[H07] Helfgott, H. A., Power-free values, large deviations and integer points on irrational curves, J. Théor. Nombres Bordeaux, 19 (2) (2007), 433–472.

[HM07] Helleloid, G. T. and Martin, U., The automorphism group of a finite $p$-group is almost always a $p$-group, J. Algebra, 312 (1) (2007), 294–329.

[H07] Hertweck, M., A note on the modular group algebras of odd $p$-groups of $M$-length three, Publ. Math. Debrecen, 71 (1-2) (2007), 83–93.

[HS07] Hertweck, M. and Soriano, M., Parametrization of central Frattini extensions and isomorphisms of small group rings, Israel J. Math., 157 (2007), 63–102.

[H07] Himstedt, F., Character tables of parabolic subgroups of Steinberg's triality groups $^3D_4(2^n)$, J. Algebra, 316 (1) (2007), 254–283.

[HH07] Himstedt, F. and Huang, S., Dade's invariant conjecture for Steinberg's triality groups $^3D_4(2^n)$ in defining characteristic, J. Algebra, 316 (2) (2007), 802–827.

[HL07] Hohlweg, C. and Lange, C. E. M. C., Realizations of the associahedron and cyclohedron, Discrete Comput. Geom., 37 (4) (2007), 517–543.

[H07] Huffman, W. C., Additive cyclic codes over $\Bbb F_4$, Adv. Math. Commun., 1 (4) (2007), 427–459.

[H07] Huffman, W. C., Additive self-dual codes over $\Bbb F_4$ with an automorphism of odd prime order, Adv. Math. Commun., 1 (3) (2007), 357–398.

[H07] Huffman, W. C., On the decomposition of self-dual codes over $\Bbb F_2+u\Bbb F_2$ with an automorphism of odd prime order, Finite Fields Appl., 13 (3) (2007), 681–712.

[J07] Jackson, M. A., The strong symmetric genus of the finite Coxeter groups, J. Group Theory, 10 (6) (2007), 841–847.

[JK07] Joyner, D. and Ksir, A., Decomposition representations of finite groups on Riemann-Roch spaces, Proc. Amer. Math. Soc., 135 (11) (2007), 3465–3476.

[KM07] Kappe, L. and Morse, R. F., On commutators in groups, in Groups St. Andrews 2005. Vol. 2, Cambridge Univ. Press, Cambridge, London Math. Soc. Lecture Note Ser., 340 (2007), 531–558.

[KMN07] Karabáš, J., Maličký, P., and Nedela, R., Three-manifolds with Heegaard genus at most two represented by crystallisations with at most 42 vertices, Discrete Math., 307 (21) (2007), 2569–2590.

[K07] Katz, N. M., $G_2$ and hypergeometric sheaves, Finite Fields Appl., 13 (2) (2007), 175–223.

[KY07] Kazarin, L. S. and Yanishevskiĭ, V. V., On finite simply reducible groups, Algebra i Analiz, 19 (6) (2007), 86–116.

[K07] Kedlaya, K. S., Mass formulas for local Galois representations, Int. Math. Res. Not. IMRN (17) (2007), Art. ID rnm021, 26
(With an appendix by Daniel Gulotta).

[KPV07] Kinyon, M. K., Phillips, J. D., and Vojtěchovský, P., C-loops: extensions and constructions, J. Algebra Appl., 6 (1) (2007), 1–20.

[KS07] Klavžar, S. and Shpectorov, S., Tribes of cubic partial cubes, Discrete Math. Theor. Comput. Sci., 9 (1) (2007), 273–291.

[K07] Kohl, S., Wildness of iteration of certain residue-class-wise affine mappings, Adv. in Appl. Math., 39 (3) (2007), 322–328.

[K07] Kohl, T., Groups of order $4p$, twisted wreath products and Hopf-Galois theory, J. Algebra, 314 (1) (2007), 42–74.

[K07] Konovalov, A., Wreath products in modular group algebras of some finite 2-groups, Acta Math. Acad. Paedagog. Nyházi. (N.S.), 23 (2) (2007), 125–127.

[KK07] Konovalov, A. and Krivokhata, A., On the isomorphism problem for unit groups of modular group algebras, Acta Sci. Math. (Szeged), 73 (1-2) (2007), 53–59.

[K07] Koshita, H., An example of relations on the Ext-quiver for the Suzuki group Sz(8) in characteristic 2, J. Symbolic Comput., 42 (4) (2007), 429–442.

[K07] Kostousov, K. V., Cayley graphs of the group $\Bbb Z^4$ that are limits of minimal vertex-primitive graphs of type $HA$, Proc. Steklov Inst. Math., 257 (suppl. 1) (2007), S118–S134.

[KW07] Ku, C. Y. and Wong, T. W. H., Intersecting families in the alternating group and direct product of symmetric groups, Electron. J. Combin., 14 (1) (2007), Research Paper 25, 15.

[L07] Lewis, M. L., Generalizing a theorem of Huppert and Manz, J. Algebra Appl., 6 (4) (2007), 687–695.

[LW07] Lewis, M. L. and White, D. L., Diameters of degree graphs of nonsolvable groups. II, J. Algebra, 312 (2) (2007), 634–649.

[LW07] Lewis, M. L. and White, D. L., Nonsolvable groups satisfying the one-prime hypothesis, Algebr. Represent. Theory, 10 (4) (2007), 379–412.

[LS07] Li, C. H. and Seress, Á., Symmetrical path-cycle covers of a graph and polygonal graphs, J. Combin. Theory Ser. A, 114 (1) (2007), 35–51.

[LV07] Lievens, S. and Van der Jeugt, J., Symmetry groups of Bailey's transformations for $_10\phi_9$-series, J. Comput. Appl. Math., 206 (1) (2007), 498–519.

[L07] Linton, S., GAP - Groups, Algorithms, Programming, ACM Communications in Computer Algebra, 41 (3) (2007), 108–109
(Issue 161).

[LMO07] Lübeck, F., Magaard, K., and O'Brien, E. A., Constructive recognition of $\rm SL_3(q)$, J. Algebra, 316 (2) (2007), 619–633.

[MO07] Maginnis, J. and Onofrei, S., On a homotopy relation between the 2-local geometry and the Bouc complex for the sporadic group $\rm Co_3$, J. Algebra, 315 (1) (2007), 1–17.

[MM07] Maksimenko, A. A. and Mamontov, A. S., Local finiteness of some groups generated by a class of conjugate elements of order 3, Sibirsk. Mat. Zh., 48 (3) (2007), 631–644.

[MPS07] Mann, A., Praeger, C. E., and Seress, Á., Extremely primitive groups, Groups Geom. Dyn., 1 (4) (2007), 623–660.

[MS07] McSorley, J. P. and Soicher, L. H., Constructing $t$-designs from $t$-wise balanced designs, European J. Combin., 28 (2) (2007), 567–571.

[MP07] Michler, G. O. and Previtali, A., O'Nan group uniquely determined by the centralizer of a 2-central involution, J. Algebra Appl., 6 (1) (2007), 135–171.

[MCD07] Miller, A., Calder, M., and Donaldson, A. F., A template-based approach for the generation of abstractable and reducible models of featured networks, Computer Networks, 51 (2) (2007), 439–455.

[MP+07] Monson, B., Pisanski, T., Schulte, E., and Weiss, A. I., Semisymmetric graphs from polytopes, J. Combin. Theory Ser. A, 114 (3) (2007), 421–435.

[MS07] Monson, B. and Schulte, E., Reflection groups and polytopes over finite fields. II, Adv. in Appl. Math., 38 (3) (2007), 327–356.

[MW07] Monson, B. and Weiss, A. I., Medial layer graphs of equivelar 4-polytopes, European J. Combin., 28 (1) (2007), 43–60.

[M07] Montinaro, A., Large 2-transitive arcs, J. Combin. Theory Ser. A, 114 (6) (2007), 993–1023.

[M07] Montinaro, A., Large doubly transitive orbits on a line, J. Aust. Math. Soc., 83 (2) (2007), 227–269.

[M07] Moravec, P., Schur multipliers and power endomorphisms of groups, J. Algebra, 308 (1) (2007), 12–25.

[M07] Moravec, P., Schur mutipliers and power endomorphisms of groups, Journal of Algebra, 308 (1) (2007), 12–25.

[M07] Morgan, J. P., Optimal incomplete block designs, J. Amer. Statist. Assoc., 102 (478) (2007), 655–663.

[MNW07] Müller, J., Neunhöffer, M., and Wilson, R. A., Enumerating big orbits and an application: $B$ acting on the cosets of $\rm Fi_23$, J. Algebra, 314 (1) (2007), 75–96.

[MZ07] Müller, J. and Zimmermann, R., Green vertices and sources of simple modules of the symmetric group labelled by hook partitions, Arch. Math. (Basel), 89 (2) (2007), 97–108.

[MS07] Müller, T. W. and Schlage-Puchta, J., Character theory of symmetric groups, subgroup growth of Fuchsian groups, and random walks, Adv. Math., 213 (2) (2007), 919–982.

[NV07] Nagy, G. P. and Vojtěchovský, P., The Moufang loops of order 64 and 81, J. Symbolic Comput., 42 (9) (2007), 871–883.

[NP07] Niemeyer, A. C. and Praeger, C. E., On the proportion of permutations of order a multiple of the degree, J. Lond. Math. Soc. (2), 76 (3) (2007), 622–632.

[N07] Noeske, F., The 2- and 3-modular characters of the sporadic simple Fischer group $\rm Fi_22$ and its cover, J. Algebra, 309 (2) (2007), 723–743.

[N07] Nomura, A., A note on the 3-class field tower of a cyclic cubic field, Proc. Japan Acad. Ser. A Math. Sci., 83 (2) (2007), 14–15.

[O07] Olteanu, G., Computing the Wedderburn decomposition of group algebras by the Brauer-Witt theorem, Math. Comp., 76 (258) (2007), 1073–1087.

[OR07] Olteanu, G. and del Río, Á., Group algebras of Kleinian type and groups of units, J. Algebra, 318 (2) (2007), 856–870.

[P07] Pahlings, H., The character table of $2^1+22_+.\rm Co_2$, J. Algebra, 315 (1) (2007), 301–325.

[PK07] Park, S. and Kwon, S., Class number one problem for normal CM-fields, J. Number Theory, 125 (1) (2007), 59–84.

[P07] Praeger, C. E., The flag-transitive symmetric designs with 45 points, blocks of size 12, and 3 blocks on every point pair, Des. Codes Cryptogr., 44 (1-3) (2007), 115–132.

[P07] Putrycz, B., Commutator subgroups of Hantzsche-Wendt groups, J. Group Theory, 10 (3) (2007), 401–409.

[R07] Ragland, M. F., Generalizations of groups in which normality is transitive, Comm. Algebra, 35 (10) (2007), 3242–3252.

[R07] Rattaggi, D., A finitely presented torsion-free simple group, J. Group Theory, 10 (3) (2007), 363–371.

[R07] Rattaggi, D., Three amalgams with remarkable normal subgroup structures, J. Pure Appl. Algebra, 210 (2) (2007), 537–541.

[R07] Rojas, A. M., Group actions on Jacobian varieties, Rev. Mat. Iberoam., 23 (2) (2007), 397–420.

[S07] Salim, M. A. M., Torsion units in the integral group ring of the alternating group of degree 6, Comm. Algebra, 35 (12) (2007), 4198–4204.

[S07] Sánchez-García, R. J., Equivariant $K$-homology for some Coxeter groups, J. Lond. Math. Soc. (2), 75 (3) (2007), 773–790.

[SIP07] Sikiric, M. D., Itoh, Y., and Poyarkov, A., Cube packings, second moment and holes, European Journal of Combinatorics, 28 (3) (2007), 715–725.

[SSV07] Sikirić, M. D., Schürmann, A., and Vallentin, F., Classification of eight-dimensional perfect forms, Electron. Res. Announc. Amer. Math. Soc., 13 (2007), 21–32.

[S07] Slattery, M. C., Generation of groups of square-free order, J. Symbolic Comput., 42 (6) (2007), 668–677.

[S07] Spiga, P., Elementary abelian $p$-groups of rank greater than or equal to $4p-2$ are not CI-groups, J. Algebraic Combin., 26 (3) (2007), 343–355.

[S07] Strade, H., Lie algebras of small dimension, in Lie algebras, vertex operator algebras and their applications, Amer. Math. Soc., Providence, RI, Contemp. Math., 442 (2007), 233–265.

[S07] Suter, R., Quantum affine Cartan matrices, Poincaré series of binary polyhedral groups, and reflection representations, Manuscripta Math., 122 (1) (2007), 1–21.

[B07] van Bon, J., Finite primitive distance-transitive graphs, European J. Combin., 28 (2) (2007), 517–532.

[V07] Vaughan-Lee, M., On 4-Engel groups, LMS J. Comput. Math., 10 (2007), 341–353.

[V07] Vdovin, E. P., Regular orbits of solvable linear $p'$-groups, Sib. Èlektron. Mat. Izv., 4 (2007), 345–360.

[VJ07] Verrill, H. and Joyner, D., Computing with toric varieties, J. Symbolic Comput., 42 (5) (2007), 511–532.

[W07] Wilde, T., The real part of the character table of a finite group, Comm. Algebra, 35 (12) (2007), 4042–4056.

[W07] Woodroofe, R., Shelling the coset poset, J. Combin. Theory Ser. A, 114 (4) (2007), 733–746.

[Y07] Yalçınkaya, Ş., Black box groups, Turkish J. Math., 31 (suppl.) (2007), 171–210.