Some Talks and Preprints
This is a rather mixed collection of preprints, overhead projector slides,
and handouts from talks on topics from computational group theory, most
of them by members of the GAP Group and most
of them wholly or partly about GAP. They are sorted in
reverse chronological order (newest first). The
last of them even predates GAP and some of those from 1997
reflect the changeover from GAP 3 to GAP 4,
so they are mainly of historical interest. Some of the examples described
in the documents refer to earlier versions of GAP.
Updated versions of such have been inserted into the collection of
Examples. Also, there are
pointers from the page
Learning GAP
to those talks which were intended to introduce to GAP or
special ascpects of it. See also the page
Applications.
In the way of conference talks, many of them were prepared in a hurry,
and/or without references to hand. Details should not be relied upon
without checking, and certainly represent no more than the opinion of
the author at the time. There is also some overlap between them.
In several cases, OHP slides were prepared using LaTeX and
the lslide style, which can be obtained from our
web server.
Additional contributions are welcome. We may also announce some externally
available GAP related materials on Twitter.

Talks from GAP Days
Since 2014, we periodically organise GAP Days. These are meetings where
developers and users with programming experience are invited to influence
the future development of GAP by initiating and contributing to discussions
and coding sprints. You can find materials from past GAP days
(and information about the future ones) under respective
pages here.

Using GAP Effectively: Some Tips and Pitfalls
Alexander Konovalov's lecture for the GAP Tutorial at the 20th Postrgaduate Group
Theory Conference (July 1620, 2018, St Andrews) in the form of a Jupyter notebook
which is runnable online on Binder (to launch it, click on the "launch binder"
badge on this page).

Talks from the
Second CoDiMa Training School in Computational Discrete Mathematics
(October 1721, 2016, International Centre for Mathematical Sciences, Edinburgh)

Talks from the
First CoDiMa Training School in Computational Discrete Mathematics
(November 1620, 2015, University of Manchester)

Leonard Soicher's talk from the Groups in Galway 2009
conference on The Joy of GAP Packages
(pdf).

Talks from the 2007 Braunschweig
GAP Packages Workshop .
Slides of many of the talks given here.

Solving the F^{a,b,c} conjecture
A seminar given by Edmund Robertson
to North Eastern Geometric Group Theory on 23
November 2005 about how a conjecture concerning a class of
finitely presented groups was solved using computer generated
proofs derived from coset enumeration for specific groups in the
class.

Talks from the
2003 NETCA Instructional Workshop
on computational group theory
In particular on general aspects of GAP by
Steve Linton
,
and on representation theory in GAP by
Gerhard Hiss
.

A report on the
2001 Oberwolfach Meeting on Computational Group Theory
Provides abstracts of all talks.

GAP 4 tutorial at ISSAC 2000 at St
Andrews
(Alexander Hulpke
)
Handout provided for the participants.

Talks from the 1999 Linz Workshop
on Advanced Programming in GAP 4
Slides of many of the talks given there.

The GAP 4 Type System: Organising
Algebraic Algorithms
(Thomas Breuer
,
Steve Linton
)
Paper accepted for ISSAC (International Symposium on Symbolic and
Algebraic Computation) 1998 at Rostock
(Available in
DVI and
PostScript)

The GAP 4 Type System
Steve Linton
Talk delivered at the workshop: "Mathematical Softwares" in Kobe, Japan,
December 1997.
(Available in
LaTeX,
DVI, and
PostScript)

An introduction to groups, in particular finite soluble groups
Slides to the first five talks by
Bettina Eick
at the conference
`Methods of computer algebra in finite geometry' in Caserta, Italy,
November 1997.

Recent Developments in Computational Algebra
(Steve Linton
)
Plenary lecture at Groups St Andrews 1997 in Bath. August 1997.
Includes a slightly reworked version of the HigmanSims example given
in the next talk and
an investigation of quotients of Grigorchuk's group.
(Available in
LaTeX,
DVI, and
PostScript).
An updated version of the Grigorchuk example running
under GAP 4
is also available.

Constructing the HigmanSims group from the number 23
(Alexander Hulpke
)
Software demonstration at the 16th British Combinatorial Conference in
London. July 1997.
(Available as
plain GAP code and
HTML with explanations).
An updated version of the example running
under GAP 3
is available. For GAP 4 the example has been merged into the
Co3 example.

Computing with Semigroups and Monoids
(Steve Linton
)
A 40 minute conference talk, partly about some new techniques for
computing with transformation semigroups, partly about computation in
group theory, and GAP in particular. July 1997.
(Available in
LaTeX,
DVI, and
PostScript)

Talks from the 1997 Oberwolfach Meeting
on Computational Group Theory
Handouts of some of the talks of that meeting.

An Introduction to GAP
(Steve Linton
)
A two hour introduction for beginners, delivered at the workshop
"Nilpotent and Soluble Quotient Methods" in Trento, Italy, June 1997.
(Available in
LaTeX,
DVI, and
PostScript)

The State of the Art in Computational Algebra
(Steve Linton
)
A onehour seminar given to a general mathematical audience in Nottingham,
June 1997.
(Available in
LaTeX,
DVI, and
PostScript)

GAP: Status Report and Some Possible Directions
(Steve Linton
)
A 45 minute talk to an expert audience in Oberwolfach, June 1997.
(Available in
LaTeX,
DVI, and
PostScript)

GAP Workshop, St Andrews, April 1997
A brief welcome by Steve Linton
,
available in
LaTeX,
DVI, and
PostScript.
Concluding remarks by Steve Linton, available in
LaTeX,
DVI, and
PostScript.

Computers in Group theory  An introduction to
GAP
(Alexander Hulpke
)
Overview of Computational group theory, focussing on GAP.
Delivered at Rennes, April 1996.
(Available in
LaTeX,
DVI, and
PostScript)

An Overview of the GAP System
(Steve Linton
)
Overview of GAP for computer algebraists, delivered at a
MathFIT workshop in Oxford, April 1996.
(Available in
LaTeX,
DVI, and
PostScript)

Character Tables of Weyl Groups in GAP
(Götz Pfeiffer
)
A guideline for a GAP 3 implementation of the character
tables of the series of Weyl groups of type A, B, and D, and some related
groups.
Bayreuther Math. Schriften 47 (1994), 165222.

An invitation to computational group theory
(Joachim Neubueser)
A general overwiew of the development of computational group theory,
current techniques and directions.
Invited talk at the conference 'Groups St Andrews' at Galway 1993.
(Available in
DVI and
PostScript)

An elementary introduction to computational
methods for finitely presented groups
(Joachim Neubueser together with S. Sidki)
English version of "Alguns Procedimentos Computationais Para
Grupos Dados Por Una Apresentaccao Finita",
Matematica Universitaria 8 (1988) 77120.
(Available in
DVI and
Postscript)
