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GAP (Groups, Algorithms and Programming) is a system for computational discrete algebra, with particular emphasis on Computational Group Theory. It provides a programming language, a library of thousands of functions implementing algebraic algorithms, and large data libraries of algebraic objects.
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How do I find hyperbolic generating triples for a group using GAP?
My question is, how can I use GAP to determine these triples for a group and therefore their type? Take $PSL(2, 7)$ as an example. …
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Counting the number of generating triples of various types in finite simple groups
How is this result obtained and can I use GAP to help with the process?
Am I correct in thinking I can do the below? … gap> G := MathieuGroup(11);
Group([ (1,2,3,4,5,6,7,8,9,10,11), (3,7,11,8)(4,10,5,6) ])
gap> C := CharacterTable(G);
CharacterTable( Group([ (1,2,3,4,5,6,7,8,9,10,11), (3,7,11,8)(4,10,5,6) ]) )
gap> …