Let G:=AlternatingGroup(125) be the Alternating group of degree 125,
and let Q:=SylowSubgroup(G, 5) be a Sylow 5-subgroup of G.
I want to compute, for each element x of Q, the distinct G-conjugacy
class sizes, that is, the distinct values of Size(ConjugacyClass(G,
x)) (obviously, computing the distinct values of Centralizer(G, x) for
all x in Q) would be the same).
Needless to say that, I always get out of memory when I run over all
the elements of Q. I had tried the following: compute the upper
central series of Q (L:=UpperCentralSeriesOfGroup(Q)) and, for some
"intermediate" normal subgroup N in that chain, to decompose Q in
right cosets on N, in order to make a disjoint union of the elements
of Q that is more manageable. However, I still have problems of memory
because either I have so many transversals or the order of N is also
too large. Any idea?
Thanks in advance.
_______________________________________________
Forum mailing list
Forum@mail.gap-system.org
http://mail.gap-system.org/mailman/listinfo/forum
