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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 179–186 (Mi timm851)  
This article is cited in 1 scientific paper (total in 1 paper)

Graphs of twisted subsets

A. L. Myl'nikov

M. F. Reshetnev Siberian State Aerospace University
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Abstract: A subset $K$ of a group $G$ is said to be twisted if $1\in K$ and the element $xy^{-1}x$ lies in $K$ for any $x,y\in K$. A new notion of graph of a twisted subset is introduced and the connection is investigated between the structure of the graph of a twisted subset and the structure of the group generated by this twisted subset.
Keywords: twisted subset, twisted subgroup.
Received: 01.02.2011
Bibliographic databases:
Document Type: Article
UDC: 512.544
Language: Russian
Citation: A. L. Myl'nikov, “Graphs of twisted subsets”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 179–186
Citation in format AMSBIB
\Bibitem{Myl12}
\by A.~L.~Myl'nikov
\paper Graphs of twisted subsets
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 3
\pages 179--186
\mathnet{http://mi.mathnet.ru/timm851}
\elib{https://elibrary.ru/item.asp?id=17937023}
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  • https://www.mathnet.ru/eng/timm/v18/i3/p179
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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