[GAP Forum] abelianized of transitive groups

Bill Allombert Bill.Allombert at math.u-bordeaux1.fr
Mon Dec 17 13:25:56 GMT 2012


Dear GAP forum,

I have a question which is indirectly related to GAP.

Let G a transitive subgroup of S_n. I need a bound for [G:G'](=#G/G')
in term of n. Is there theoretical and/or heuristic result in this direction ?

What is the best way to compute [G:G'] ? It seems AbelianInvariants is faster
than Size(G/DerivedSugroup(G)).

Cheers,
Bill.



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