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Algebra i logika, 2007, Volume 46, Number 4, Pages 459–482 (Mi al308)  
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
Full-text PDF (244 kB) Citations (1)
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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
English version:
Algebra and Logic, 2007, Volume 46, Issue 4, Pages 250–262
DOI: https://doi.org/10.1007/s10469-007-0024-0
Bibliographic databases:
UDC: 512.544
Language: Russian
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
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
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    		Алгебра и логика Algebra and Logic
     
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