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Groups isomorphic to their non-nilpotent subgroups

Groups isomorphic to their non-nilpotent subgroups

We were concerned in [12] with groups G that are isomorphic to all of their non-abelian subgroups. In order to exclude groups with all proper subgroups abelian, which are well understood in the finite case [7] and which include Tarski groups in the infinite case, we restricted attention to the …