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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 1, Pages 20–34
(Mi smj2396)
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This article is cited in 8 scientific papers (total in 8 papers)
Twisted conjugacy classes of the unit element
V. G. Bardakovab, T. R. Nasybullovab, M. V. Neshchadimab a Sobolev Institute of Mathematics, Novosibirsk, Russia
b 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).
Keywords:
endomorphism, automorphism, twisted conjugacy, twisted conjugacy class.
Received: 31.10.2012
Citation:
V. G. Bardakov, T. R. Nasybullov, M. V. Neshchadim, “Twisted conjugacy classes of the unit element”, Sibirsk. Mat. Zh., 54:1 (2013), 20–34; Siberian Math. J., 54:1 (2013), 10–21
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https://www.mathnet.ru/eng/smj2396 https://www.mathnet.ru/eng/smj/v54/i1/p20
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Abstract page: | 402 | Full-text PDF : | 107 | References: | 73 | First page: | 8 |
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