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Questions on group theory which concern finite 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 …