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Questions about the branch of algebra that deals with groups.

24 votes
2 answers
1k views

Subgroups of finite solvable groups with paradoxical properties

For which pairs of finite solvable groups H, G, is the following true: H embeds in two ways into G, say as H1 and H2, where H1 is maximal in G and H2 is not? Are there any such pairs? Some comments …