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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 Higman-Sims 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.