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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 114–120 (Mi timm756)  
This article is cited in 3 scientific papers (total in 3 papers)

On the commutation graph of cyclic $TI$-subgroups in linear groups

N. D. Zyulyarkina

South Ural State University
Full-text PDF (159 kB) Citations (3)
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Abstract: We study the commutation graph $\Gamma (A)$ of a 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 linear group, then the graph $\Gamma (A)$ is either a coclique or an edge-regular but not coedge-regular graph.
Keywords: finite group, cyclic $TI$-subgroup, commutation graph.
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2012, Volume 279, Issue 1, Pages S175–S181
DOI: https://doi.org/10.1134/S0081543812090143
Bibliographic databases:
Document Type: Article
UDC: 519.17+512.54
Language: Russian
Citation: N. D. Zyulyarkina, “On the commutation graph of cyclic $TI$-subgroups in linear groups”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 114–120; Proc. Steklov Inst. Math., 279, suppl. 1 (2012), S175–S181
Citation in format AMSBIB
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\by N.~D.~Zyulyarkina
\paper On the commutation graph of cyclic $TI$-subgroups in linear groups
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 4
\pages 114--120
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 279
\issue , suppl. 1
\pages S175--S181
\crossref{https://doi.org/10.1134/S0081543812090143}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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