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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∈K and xy−1x∈K for any x,y∈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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\by A.~L.~Myl'nikov
\paper Minimal non-group twisted subsets containing involutions
\jour Algebra Logika
\yr 2007
\vol 46
\issue 4
\pages 459--482
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2363554}
\zmath{https://zbmath.org/?q=an:1155.20024}
\transl
\jour Algebra and Logic
\yr 2007
\vol 46
\issue 4
\pages 250--262
\crossref{https://doi.org/10.1007/s10469-007-0024-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000255038000004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548765592}
Linking options:
  • https://www.mathnet.ru/eng/al308
  • https://www.mathnet.ru/eng/al/v46/i4/p459
    • This publication is cited in the following 1 articles:
    1. A. L. Myl'nikov, “Minimal Involution-Free Nongroup Reduced Twisted Subsets”, Math. Notes, 88:6 (2010), 860–867  mathnet  crossref  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:306
    Full-text PDF :95
    References:71
    First page:5
     
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