A. L. Myl'nikov, “Graphs of twisted subsets”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 179

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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

Full-text PDF (161 kB) Citations (1)

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Abstract: A subset

K

$K$ of a group

G

$G$ is said to be twisted if

1 \in K

$1\in K$ and the element

x y^{- 1} x

$xy^{-1}x$ lies in

K

$K$ for any

x, y \in K

$x,y\in K$ . 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}

Linking options:

https://www.mathnet.ru/eng/timm851

https://www.mathnet.ru/eng/timm/v18/i3/p179

This publication is cited in the following 1 articles:

A. L. Mylnikov, “Grafy skruchennykh podmnozhestv, imeyuschie diametr 2”, Tr. IMM UrO RAN, 19, no. 3, 2013, 224–229

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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Abstract page:	289
Full-text PDF :	60
References:	55
First page:	3

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