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This article is cited in 1 scientific paper (total in 1 paper)
Minimal non-group twisted subsets containing involutions
A. L. Myl'nikov Institute of Arts and Sciences, Siberian Federal University
Abstract:
A subset $K$ of a group $G$ is said to be twisted if $1\in K$ and $xy^{-1}x\in K$ for any $x,y\in K$. We explore finite twisted subsets with involutions which are themselves not subgroups but every proper twisted subset of which is. Groups that are generated by such twisted subsets are classified.
Keywords:
involution, twisted subset, twisted subgroup.
Received: 21.03.2006
Citation:
A. L. Myl'nikov, “Minimal non-group twisted subsets containing involutions”, Algebra Logika, 46:4 (2007), 459–482; Algebra and Logic, 46:4 (2007), 250–262
Linking options:
https://www.mathnet.ru/eng/al308 https://www.mathnet.ru/eng/al/v46/i4/p459
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Abstract page: | 275 | Full-text PDF : | 79 | References: | 53 | First page: | 5 |
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