Twisted conjugacy classes of the unit element

Siberian Mathematical Journal 54, No. 1, 10-21 (2013) 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 investi...

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Hauptverfasser: Bardakov, V. G, Nasybullov, T. R, Neshchadim, M. V
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Sprache:eng
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Zusammenfassung:Siberian Mathematical Journal 54, No. 1, 10-21 (2013) 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).
DOI:10.48550/arxiv.1303.0941