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Twisted conjugacy classes of the unit element
Authors:V G Bardakov  T R Nasybullov  M V Neshchadim
Institution:11002. Sobolev Institute of Mathematics and Novosibirsk State University, Novosibirsk, Russia
Abstract:We study twisted conjugacy classes of the unit element in different groups. Fel’shtyn and Troitsky showed that the twisted conjugacy class of the unit element of an abelian group is a subgroup for every automorphism. The structure is investigated of a group whose twisted conjugacy class of the unit element is a subgroup for every automorphism (inner automorphism).
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