This is a page on GAP 3, which is
still available, but no longer supported. The present version is
GAP 4 (See
Status of GAP 3). 
GAP 3 Examples
See also the
corresponding GAP 4 page.
As the Bibliography shows,
GAP has been used in a wide variety of areas of
mathematics. These examples are intended to give some flavour of this.
Needless to say such a list cannot be exhaustive.

Analyzing Rubik's Cube with GAP
An example by Martin Schönert, 1993.
An almost classical permutation group of small degree is examined
with some elementary GAP 3 commands.

Two fundamental groups from A. Cavicchioli
This example demonstrates some methods for the investigation of finitely
presented groups using two presentations of fundamental groups due to
A. Cavicchioli.

Constructing the HigmanSims group from the number 23
An example presented by Alexander Hulpke
in the software demonstration at the 16th British Combinatorial
Conference in London, July 1997.

Constructing Co3
This is an extended version of the last example in the paper
"Construction of Co3. An example of the use of an integrated system
for Computational Group Theory", Groups St Andrews 1997 in Bath,
by Alexander Hulpke and
Steve Linton.
You can find many more examples of code and programming tricks browsing
through the
GAP Forum Archive.
