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How to get set of all maximal subgroups of a finite group in Sage?

asked 0 years ago

sagelearner
61 ●1 ●4 ●8

If $G$ is a permutation group, I am aware of sage commands like G.subgroups(), G.normal_subgroups() and G.maximal_normal_subgroups() which returns the set of all subgroups , set of all normal subgroups and set of all maximal normal subgroups respectively.

Is there any such command for set of all maximal subgroups? Please help.

P.S. If there is no such command, can you help me to write a function which does it in an EFFICIENT way?

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answered 0 years ago

flag of United States of America

6922 ●9 ●52 ●161

gap.MaximalSubgroups(G)should do the job. See https://docs.gap-system.org/doc/ref/c...

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