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Isomorphic Subgroups of Finite <i>p</i>-Groups. I

Isomorphic Subgroups of Finite <i>p</i>-Groups. I

Let p be a prime and P be a p -subgroup of a finite group G . Suppose that g ∈ G and that P ∩ P g has index p in P . In [ 4 ], we assumed that g normalizes no non-identity normal subgroup of P . …