Teaching Material

See also the page on Learning GAP, which refers to material that may help you if you want to learn GAP on your own or to teach it.

GAP has been used in lecture courses of various levels, both for providing examples and for creating teaching material, in particular exercises. However, at present we know of rather few examples of such teaching materiæl being made available to the public. We therefore ask to inform us if you have such material and are willing to share it with others. The person to contact is Edmund Robertson at St Andrews who has agreed to maintain and extend this page.

At present we can point to the following material.

• A course Mathematics 3530 - Abstract Algebra,
  given in Fall 2003 at Eastern Illinios University by Duane Broline.
   
• An online workshop Abstract Algebra with GAP
  was held by Russell Blyth and Julianne Rainbolt in July 2003 under the auspices of the Mathematical Association of America's Professional Enhancement Program.
   
• An online workshop Exploring Abstract Algebra Using Computer Software
  was held by Russell Blyth and Julianne Rainbolt in June 2004 under the auspices of the Mathematical Association of America's Professional Enhancement Program.
   
• The book Applied Abstract Algebra by David Joyner, Rick Kreminsky, and JoAnn Turisco, a draft of which is available on the web, contains numerous examples of the use of GAP, in particular a section of Coding Theory Exercises using GAP.
   
• A lab manual Abstract Algebra with GAP
  by Julianne Rainbolt and Joseph A. Gallian containing a collection of exercises that use GAP and are appropriate for a first course in abstract algebra. This manual was originally developed to be used with Gallian's book Contemporary Abstract Algebra).
   
• Eight GAP lessons by Peter Webb, University of Minnesota, covering Permutation Groups, Matrices, Finite Fields and Matrix Groups, Groups given by Presentations, Stabilizer chains, Coset Enumeration.
   
• Lectures and Workshops on Groups, Applications, and GAP by Alice Niemeyer, held in September 2004 at the University of Malaya at Kuala Lumpur. The course describes applications of GAP to counting and randomised algorithms.
   
• Graph Isomorphism Problem by Vincent Remie, Eindhoven University of Technology.
  This looks at ways to show that two graphs on n vertices are not isomorphic. Code is given for a number of GAP functions to examine graphs.
   
• Information on usage of CommSemi and other semigroups functionality in GAP can be found in "Tutorial - Computing with semigroups in GAP" by Isabel M. Araújo and Andrew Solomon, which is available here.
   
• Teaching material in French:
  Calculs en théorie des groupes et introduction au langage GAP,
  Journées mathématiques X-UPS 2000, ``groupes finis'', 71--94,
  Éditions de l'école Polytechnique. dvi. by Jean Michel.
   
• Algebra and number theory with GAP (in Russian)
  by Alexander Konovalov.
   
• Teaching material in Japanese:
  The home page of Toshiaki Shoji, in its section 'Refresh Corner' provides links to PDF as well as PostScript versions of two Japanese texts 'How to play GAP' (dating from Oct. 2002 and Feb 2005, resp.) that contain parts of the GAP tutorial with additional examples.
   
• The package ITC can be used to demonstrate the working of some coset table methods. Examples are given in the ITC manual.
• There are lecture notes Notes for a graduate course in Computational Group Theory (Summer 2008) by Alexander Hulpke.