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Dear Gap Forum,

Erhard Aichinger <erhard@bruckner.stoch.uni-linz.ac.at> writes:

... but I suppose that there is a lot of more detailled information

on computing with p-groups.I see that one possibility to learn more about computing with

p-groups is reading the source of the GAP-functions;

but you can probably point out a better source of information

(e.g. Master's or PhD-theses) on this subject to me.

Sims' book provides references for computation with

and structural investigations of p-groups.

The following -- which intersects some of his material --

may also be of some interest to you.

* Computing power commutator presentations for p-quotients

Newman & O'Brien (1996, to appear); Havas & Newman (1980)

* Generating descriptions of p-groups (Newman, 1977; O'Brien, 1990)

* Isomorphism testing (O'Brien, 1994);

Computing automorphism groups (O'Brien, 1995)

* Collection -- Leedham-Green and Soicher (1990), Vaughan-Lee (1990)

* Structural analysis: most of these deal with soluble groups;

-- Laue, Neub"user and Schoenwaelder (1984)

-- Glasby and Slattery (1990)-- F. Celler, J.Neub"user, C.R.B. Wright.

Some remarks on the computation of complements and normalizers in

soluble groups.

Acta Applicandai Mathematicai Vol 21, pages 57 - 76, 1990.-- M. Mecky, J. Neub"user.

Some remarks on the computation of conjugacy classes of soluble groups.

Bulletin of the Australian Math Soc. Vol 40, Nr 2, pages 281 - 293, 1989.

- Bettina Eick (1996, to appear)

Special presentations for finite soluble groups and computing

(Pre-)Frattini subgroups.

Available by anon ftp from ftp.math.rwth-aachen.de

get pub/incoming/special.dvi.Z

>Bettina provided me with the following description of its contents:

>"I recall the definitions of polycyclic generating sequences and

>special pcgs. Then the (almost trivial) computation of a Hall

>system and of maximal subgroups of a group with special pcgs

>is described. Finally I introduce a method to compute a prefrattini

>subgroup of a group with special pcgs and derive a method to

>compute the Frattini subgroup of such a group."

Precise references for these papers can be found in an algebra

BibTeX database maintained by me; it is available via my home-page

http://www.math.rwth-aachen.de/~obrien

My papers are also available directly via my home-page.

The package anupq distributed with GAP provides access to

the first four of these. The structural analysis algorithms

are also available directly in GAP.

Best wishes,

Eamonn

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