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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 5, Pages 1093–1099 (Mi smj1792)  
This article is cited in 1 scientific paper (total in 1 paper)

Minimal non-group-like twisted subsets with involutions

A. L. Myl'nikov

Institute of Arts and Sciences, Siberian Federal University
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Abstract: A subset $K$ of some group $G$ is called twisted if $1\in K$ and $xy^{-1}x\in K$ for all $x,y\in K$. We study the finite twisted subsets with an involution which are not subgroups but whose every proper twisted subset is a subgroup. We also consider the groups generated by twisted subsets.
Keywords: twisted subset, twisted subgroup.
Received: 10.11.2005
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 5, Pages 879–883
DOI: https://doi.org/10.1007/s11202-007-0090-5
Bibliographic databases:
UDC: 512.544
Language: Russian
Citation: A. L. Myl'nikov, “Minimal non-group-like twisted subsets with involutions”, Sibirsk. Mat. Zh., 48:5 (2007), 1093–1099; Siberian Math. J., 48:5 (2007), 879–883
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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