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100 publications using GAP in the category "Manifolds and cell complexes"

[AP08] Akhmedov, A. and Park, B. D., Exotic smooth structures on small 4-manifolds, Invent. Math., 173 (1) (2008), 209--223.

[AH10] Allcock, D. and Hall, C., Monodromy groups of Hurwitz-type problems, Adv. Math., 225 (1) (2010), 69--80.

[A01] Alp, M., Induced $\rm cat^1$-groups, Turkish J. Math., 25 (2) (2001), 245--261.

[AW12] Anderson, J. W. and Wootton, A., A lower bound for the number of group actions on a compact Riemann surface, Algebr. Geom. Topol., 12 (1) (2012), 19--35.

[A97] Artal Bartolo, E., A curve of degree five with non-abelian fundamental group, Topology Appl., 79 (1) (1997), 13--29.

[AC+05] Artal Bartolo, E., Carmona Ruber, J., Cogolludo-Agust\'\in, J. I., and Marco Buzunáriz, M., Topology and combinatorics of real line arrangements, Compos. Math., 141 (6) (2005), 1578--1588.

[ACO14] Artal Bartolo, E., Cogolludo-Agust\'\in, J. I., and Ortigas-Galindo, J., Kummer covers and braid monodromy, J. Inst. Math. Jussieu, 13 (3) (2014), 633--670.

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

[B01] Baker, M. D., Link complements and the Bianchi modular groups, Trans. Amer. Math. Soc., 353 (8) (2001), 3229--3246.

[BV03] Bardakov, V. G. and Vesnin, A. Y., On a generalization of Fibonacci groups, Algebra Logika, 42 (2) (2003), 131--160, 255.

[BS04] Bennett, C. D. and Shpectorov, S., A new proof of a theorem of Phan, J. Group Theory, 7 (3) (2004), 287--310.

[B03] Bessis, D., The dual braid monoid, Ann. Sci. École Norm. Sup. (4), 36 (5) (2003), 647--683.

[BL00] Björner, A. and Lutz, F. H., Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincaré homology 3-sphere, Experiment. Math., 9 (2) (2000), 275--289.

[BHT13] Brittenham, M., Hermiller, S., and Todd, R. G., 4-moves and the Dabkowski-Sahi invariant for knots, J. Knot Theory Ramifications, 22 (11) (2013), 1350069, 20.

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

[BW03] Brown, R. and Wensley, C. D., Computation and homotopical applications of induced crossed modules, J. Symbolic Comput., 35 (1) (2003), 59--72.

[CD06] Calegari, F. and Dunfield, N. M., Automorphic forms and rational homology 3-spheres, Geom. Topol., 10 (2006), 295--329 (electronic).

[CDW99] Callahan, P. J., Dean, J. C., and Weeks, J. R., The simplest hyperbolic knots, J. Knot Theory Ramifications, 8 (3) (1999), 279--297.

[CT16] Caroli, M. and Teillaud, M., Delaunay triangulations of closed Euclidean $d$-orbifolds, Discrete Comput. Geom., 55 (4) (2016), 827--853.

[CC08] Casali, M. R. and Cristofori, P., A catalogue of orientable 3-manifolds triangulated by 30 colored tetrahedra, J. Knot Theory Ramifications, 17 (5) (2008), 579--599.

[CC+11] Catalano, D. A., Conder, M. D. E., Du, S. F., Kwon, Y. S., Nedela, R., and Wilson, S., Classification of regular embeddings of $n$-dimensional cubes, J. Algebraic Combin., 33 (2) (2011), 215--238.

[CE+13] Clark, W. E., Elhamdadi, M., Hou, X., Saito, M., and Yeatman, T., Connected quandles associated with pointed abelian groups, Pacific J. Math., 264 (1) (2013), 31--60.

[CE+14] Clark, W. E., Elhamdadi, M., Saito, M., and Yeatman, T., Quandle colorings of knots and applications, J. Knot Theory Ramifications, 23 (6) (2014), 1450035, 29.

[C94] Conder, M., Regular maps with small parameters, J. Austral. Math. Soc. Ser. A, 57 (1) (1994), 103--112.

[CM+03] Conder, M., Maclachlan, C., Todorovic Vasiljevic, S., and Wilson, S., Bounds for the number of automorphisms of a compact non-orientable surface, J. London Math. Soc. (2), 68 (1) (2003), 65--82.

[CH95] Conway, J. H. and Hsu, T., Quilts and $T$-systems, J. Algebra, 174 (3) (1995), 856--908.

[CM16] Cristofori, P. and Mulazzani, M., Compact 3-manifolds via 4-colored graphs, Rev. R. Acad. Cienc. Exactas F\'\i s. Nat. Ser. A Math. RACSAM, 110 (2) (2016), 395--416.

[DJ+11] Dabkowski, M. K., Jablan, S., Khan, N. A., and Sahi, R. K., On 4-move equivalence classes of knots and links of two components, J. Knot Theory Ramifications, 20 (1) (2011), 47--90.

[DE02] Dekimpe, K. and Eick, B., Computational aspects of group extensions and their applications in topology, Experiment. Math., 11 (2) (2002), 183--200.

[DIM01] Dekimpe, K., Igodt, P., and Malfait, W., Infra-nilmanifolds and their fundamental groups, J. Korean Math. Soc., 38 (5) (2001), 883--914
(Mathematics in the new millennium (Seoul, 2000)).

[DT03] Dunfield, N. M. and Thurston, W. P., The virtual Haken conjecture: experiments and examples, Geom. Topol., 7 (2003), 399--441.

[E11] Effenberger, F., Stacked polytopes and tight triangulations of manifolds, J. Combin. Theory Ser. A, 118 (6) (2011), 1843--1862.

[E00] Eisermann, M., Knotengruppen-Darstellungen und Invarianten von endlichem Typ, Universität Bonn, Mathematisches Institut, Bonn, Bonner Mathematische Schriften [Bonn Mathematical Publications], 327 (2000), viii+135 pages
(Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, 2000).

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

[EMM03] Elder, M., McCammond, J., and Meier, J., Combinatorial conditions that imply word-hyperbolicity for 3-manifolds, Topology, 42 (6) (2003), 1241--1259.

[E04] Ellis, G., Computing group resolutions, J. Symbolic Comput., 38 (3) (2004), 1077--1118.

[EH14] Ellis, G. and Hegarty, F., Computational homotopy of finite regular CW-spaces, J. Homotopy Relat. Struct., 9 (1) (2014), 25--54.

[EM10] Ellis, G. and Mikhailov, R., A colimit of classifying spaces, Adv. Math., 223 (6) (2010), 2097--2113.

[EW05] Ellis, G. and Williams, G., On the cohomology of generalized triangle groups, Comment. Math. Helv., 80 (3) (2005), 571--591.

[F00] Ferrario, D. L., Equivariant deformations of manifolds and real representations, Pacific J. Math., 196 (2) (2000), 353--368.

[F14] Francis, A. R., An algebraic view of bacterial genome evolution, J. Math. Biol., 69 (6-7) (2014), 1693--1718.

[FG14] Friedman, M. and Garber, D., On the structure of fundamental groups of conic-line arrangements having a cycle in their graph, Topology Appl., 177 (2014), 34--58.

[G16] Gobet, T., Noncrossing partitions, fully commutative elements and bases of the Temperley-Lieb algebra, J. Knot Theory Ramifications, 25 (6) (2016), 1650035, 27.

[H10] Harris, J. M., The Kauffman bracket skein module of surgery on a $(2,2b)$ torus link, Pacific J. Math., 245 (1) (2010), 119--140.

[HLM99] Hilden, H. M., Lozano, M. T., and Montesinos-Amilibia, J. M., The Chern-Simons invariants of hyperbolic manifolds via covering spaces, Bull. London Math. Soc., 31 (3) (1999), 354--366.

[HS95] Hiss, G. and Szczepa\'nski, A., Holonomy groups of Bieberbach groups with finite outer automorphism groups, Arch. Math. (Basel), 65 (1) (1995), 8--14.

[HS08] Hiss, G. and Szczepa\'nski, A., Spin structures on flat manifolds with cyclic holonomy, Comm. Algebra, 36 (1) (2008), 11--22.

[HRW08] Hong, S., Rowell, E., and Wang, Z., On exotic modular tensor categories, Commun. Contemp. Math., 10 (suppl. 1) (2008), 1049--1074.

[HW06] Howie, J. and Williams, G., Free subgroups in certain generalized triangle groups of type $(2,m,2)$, Geom. Dedicata, 119 (2006), 181--197.

[HW12] Howie, J. and Williams, G., Tadpole labelled oriented graph groups and cyclically presented groups, J. Algebra, 371 (2012), 521--535.

[HSV16] Hulpke, A., Stanovsk\'y, D., and Vojt\vechovsk\'y, P., Connected quandles and transitive groups, J. Pure Appl. Algebra, 220 (2) (2016), 735--758.

[IM10] Idal\cprimego, R. A. and Mednykh, A. D., Geometric orbifolds with a torsion-free derived group, Sibirsk. Mat. Zh., 51 (1) (2010), 48--61.

[JP+15] Jedli\vcka, P., Pilitowska, A., Stanovsk\'y, D., and Zamojska-Dzienio, A., The structure of medial quandles, J. Algebra, 443 (2015), 300--334.

[J10] Ju, X., The Smith set of the group $S_5\times C_2\times\dots\times C_2$, Osaka J. Math., 47 (1) (2010), 215--236.

[KO14] Kalliongis, J. and Ohashi, R., Classifying non-splitting fiber preserving actions on prism manifolds, Topology Appl., 178 (2014), 200--218.

[KMN07] Karabá\vs, J., Mali\vck\'y, 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.

[KR08] Kim, H. J. and Ruberman, D., Topological triviality of smoothly knotted surfaces in 4-manifolds, Trans. Amer. Math. Soc., 360 (11) (2008), 5869--5881.

[K11] Korepanov, I. G., Relations in Grassmann algebra corresponding to three- and four-dimensional Pachner moves, SIGMA Symmetry Integrability Geom. Methods Appl., 7 (2011), Paper 117, 23.

[KMQ08] Koto, A., Morimoto, M., and Qi, Y., The Smith sets of finite groups with normal Sylow 2-subgroups and small nilquotients, J. Math. Kyoto Univ., 48 (1) (2008), 219--227.

[KO08] Kwak, J. H. and Oh, J., Arc-transitive elementary abelian covers of the octahedron graph, Linear Algebra Appl., 429 (8-9) (2008), 2180--2198.

[KL99] Kühnel, W. and Lutz, F. H., A census of tight triangulations, Period. Math. Hungar., 39 (1-3) (1999), 161--183
(Discrete geometry and rigidity (Budapest, 1999)).

[LNP03] Larrión, F., Neumann-Lara, V., and Piza\~na, M. A., Clique convergent surface triangulations, Mat. Contemp., 25 (2003), 135--143
(The Latin-American Workshop on Cliques in Graphs (Rio de Janeiro, 2002)).

[LS97] Leary, I. J. and Schuster, B., On the $\rm GL(V)$-module structure of $K(n)^*(BV)$, Math. Proc. Cambridge Philos. Soc., 122 (1) (1997), 73--89.

[L09] Lutowski, R., On symmetry of flat manifolds, Experiment. Math., 18 (2) (2009), 201--204.

[L99] Lutz, F. H., Triangulated manifolds with few vertices and vertex-transitive group actions, Verlag Shaker, Aachen, Berichte aus der Mathematik. [Reports from Mathematics] (1999), vi+137 pages
(Dissertation, Technischen Universität Berlin, Berlin, 1999).

[L08] Lutz, F. H., Combinatorial 3-manifolds with 10 vertices, Beiträge Algebra Geom., 49 (1) (2008), 97--106.

[MSV03] Magaard, K., Shpectorov, S., and Völklein, H., A GAP package for braid orbit computation and applications, Experiment. Math., 12 (4) (2003), 385--393.

[MP06] Malni\vc, A. and Poto\vcnik, P., Invariant subspaces, duality, and covers of the Petersen graph, European J. Combin., 27 (6) (2006), 971--989.

[MZ01] May, C. L. and Zimmerman, J., The group of symmetric Euler characteristic $-3$, Houston J. Math., 27 (4) (2001), 737--752.

[M08] Morimoto, M., Smith equivalent $\rm Aut(A_6)$-representations are isomorphic, Proc. Amer. Math. Soc., 136 (10) (2008), 3683--3688.

[M10] Morimoto, M., Nontrivial $\scr P(G)$-matched $\germ S$-related pairs for finite gap Oliver groups, J. Math. Soc. Japan, 62 (2) (2010), 623--647.

[NO15] Nagel, M. and Owens, B., Unlinking information from 4-manifolds, Bull. Lond. Math. Soc., 47 (6) (2015), 964--979.

[N01] Newman, M. F., On a family of cyclically-presented fundamental groups, J. Aust. Math. Soc., 71 (2) (2001), 235--241
(Special issue on group theory).

[N06] Niebrzydowski, M., On colored quandle longitudes and its applications to tangle embeddings and virtual knots, J. Knot Theory Ramifications, 15 (8) (2006), 1049--1059.

[N10] Niebrzydowski, M., Coloring invariants of spatial graphs, J. Knot Theory Ramifications, 19 (6) (2010), 829--841.

[NP11] Niebrzydowski, M. and Przytycki, J. H., The second quandle homology of the Takasaki quandle of an odd abelian group is an exterior square of the group, J. Knot Theory Ramifications, 20 (1) (2011), 171--177.

[NP06] Niebrzydowski, M. and Przytycki, J. H., Burnside kei, Fund. Math., 190 (2006), 211--229.

[NP09] Niebrzydowski, M. and Przytycki, J. H., Homology of dihedral quandles, J. Pure Appl. Algebra, 213 (5) (2009), 742--755.

[NP13] Niebrzydowski, M. and Przytycki, J. H., Entropic magmas, their homology and related invariants of links and graphs, Algebr. Geom. Topol., 13 (6) (2013), 3223--3243.

[NP10] Niebrzydowski, M. and Przytycki, J. H., Homology operations on homology of quandles, J. Algebra, 324 (7) (2010), 1529--1548.

[NO02] Nikkuni, R. and Onda, K., A characterization of knots in a spatial graph. II, J. Knot Theory Ramifications, 11 (7) (2002), 1133--1154.

[NR04] Nú\~nez, V. and Rodr\'\iguez-Viorato, J., Dihedral coverings of Montesinos knots, Bol. Soc. Mat. Mexicana (3), 10 (Special Issue) (2004), 423--449.

[PS06] Papadima, S. and Suciu, A. I., Algebraic invariants for right-angled Artin groups, Math. Ann., 334 (3) (2006), 533--555.

[PS13] Pawa\lowski, K. and Sumi, T., The Laitinen conjecture for finite non-solvable groups, Proc. Edinb. Math. Soc. (2), 56 (1) (2013), 303--336.

[PS09] Pawa\lowski, K. and Sumi, T., The Laitinen conjecture for finite solvable Oliver groups, Proc. Amer. Math. Soc., 137 (6) (2009), 2147--2156.

[P14] Pellicer, D., Vertex-transitive maps with Schläfli type $\3,7\$, Discrete Math., 317 (2014), 53--74.

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

[PS10] Putrycz, B. and Szczepa\'nski, A., Existence of spin structures on flat four-manifolds, Adv. Geom., 10 (2) (2010), 323--332.

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

[RS00] Rees, S. and Soicher, L. H., An algorithmic approach to fundamental groups and covers of combinatorial cell complexes, J. Symbolic Comput., 29 (1) (2000), 59--77.

[R01] Ruberman, D., Isospectrality and 3-manifold groups, Proc. Amer. Math. Soc., 129 (8) (2001), 2467--2471 (electronic).

[S14] Spreer, J., Combinatorial 3-manifolds with transitive cyclic symmetry, Discrete Comput. Geom., 51 (2) (2014), 394--426.

[S10] Stoimenow, A., Tabulating and distinguishing mutants, Internat. J. Algebra Comput., 20 (4) (2010), 525--559.

[ST09] Stoimenow, A. and Tanaka, T., Mutation and the colored Jones polynomial, J. Gökova Geom. Topol. GGT, 3 (2009), 44--78.

[S01] Suciu, A. I., Fundamental groups of line arrangements: enumerative aspects, in Advances in algebraic geometry motivated by physics (Lowell, MA, 2000), Amer. Math. Soc., Providence, RI, Contemp. Math., 276 (2001), 43--79.

[T00] Taherkhani, F., The Kazhdan property of the mapping class group of closed surfaces and the first cohomology group of its cofinite subgroups, Experiment. Math., 9 (2) (2000), 261--274.

[V12] Vendramin, L., On the classification of quandles of low order, J. Knot Theory Ramifications, 21 (9) (2012), 1250088, 10.

[W03] Waldmüller, R., A flat manifold with no symmetries, Experiment. Math., 12 (1) (2003), 71--77.

[WW+15] Wang, C., Wang, S., Zhang, Y., and Zimmermann, B., Embedding surfaces into $S^3$ with maximum symmetry, Groups Geom. Dyn., 9 (4) (2015), 1001--1045.

[WB04] Wilson, S. and Breda d'Azevedo, A., Surfaces having no regular hypermaps, Discrete Math., 277 (1-3) (2004), 241--274.