Dear GAP forum, I'm interested in studying the Quillen Complex of a finite group G, which is the lattice of elementary abelian p-subgroups of G. Magma has a command ElementaryAbelianSubgroups which does exactly what I want, but I'd like to do this with GAP (to avoid paying for Magma).
Specifically, given a finite group G I'd like to know: 1. The number of conjugacy classes of elementary abelian p-subgroups of a certain rank 2. The number of subgroups in each such conjugacy class 3. A set of generators of a representative from each such conjugacy class I'm aware of ConjugacyClassesSubgroups, but I'd like to my command return a list of representatives of elementary abelian p-subgroups, not all subgroups. Also, I'd like to avoid working with ConjugacyClassesSubgroups if possible, because it seems like a lot of wasted time and memory to compute the whole subgroup lattice when I'm only interested in a small portion of it. Thanks for any help! Jared _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
