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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages 180–199
(Mi semr407)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/semr407 https://www.mathnet.ru/eng/semr/v10/p180
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Abstract page: | 201 | Full-text PDF : | 51 | References: | 35 |
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