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Questions about the branch of algebra that deals with groups.

5 votes
1 answer
178 views

Does every group that satisfies the maximal permutizer condition then satisfy the permutizer...

The permutizer of a subgroup $H$ of $G$ is defined to be the subgroup generated by all cyclic subgroups of $G$ that permute with $H$, i.e. $\langle x \in G | \langle x \rangle H = H \langle x \rangle …