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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages 180–199 (Mi semr407)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

On the commutation graph of cyclic TI-subgroup in an ortogonal group $G$

N. D. Zyulyarkina

South Ural State University, Chelyabinsk
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Abstract: We study the commutation graph $\Gamma _G(A)$ of cyclic TI-subgroup A of order 4 in a finite group G with quasisimple generalized Fitting subgroup $F^*(G)$. It is proved that, if $F^*(G)$ is a ortogonal group, then the graph $\Gamma _G(A)$ is edge-regular but not coedge-regular graph.
Keywords: finite group, cyclic TI-subgroup, commutation graph.
Received January 13, 2013, 01.03.2013
Document Type: Article
UDC: 519.17+512.54
MSC: 05C25
Language: Russian
Citation: N. D. Zyulyarkina, “On the commutation graph of cyclic TI-subgroup in an ortogonal group $G$”, Sib. Èlektron. Mat. Izv., 10 (2013), 180–199
Citation in format AMSBIB
\Bibitem{Zyu13}
\by N.~D.~Zyulyarkina
\paper On the commutation graph of cyclic TI-subgroup in an ortogonal group~$G$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2013
\vol 10
\pages 180--199
\mathnet{http://mi.mathnet.ru/semr407}
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  • https://www.mathnet.ru/eng/semr/v10/p180
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