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Listing subgroups of given index

asked 2024-04-03 12:14:17 +0200

ARG gravatar image

I need to consider subgroups of a given index to a group. So far I used the .conjugacy_classes_subgroups() method but this takes too much time (and memory), since it computes all subgroups. For example I used:

G = PrimitiveGroup(81,146);
ConjClassList = G..conjugacy_classes_subgroups()

then the computer runs out of memory. But there might be only a few subgroups with a given index. Is there a relatviely efficient way to do so?

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answered 2024-04-03 13:49:25 +0200

rburing gravatar image

To obtain (representatives of conjugacy classes of) subgroups of low index $\leqslant k$ you can do [G.subgroup(gap_group=H) for H in G.gap().LowIndexSubgroups(k)].

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Asked: 2024-04-03 12:14:17 +0200

Seen: 83 times

Last updated: Apr 03