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

被引：0

作者：

Zyulyarkina, N. D. ^{[1
]}

机构：

[1] S Ural State Univ, Chelyabinsk 454080, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2012年 / 279卷

关键词：

finite group; cyclic TI-subgroup; commutation graph; FINITE-GROUPS; ORDER;

D O I：

10.1134/S0081543812090143

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the commutation graph I"(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 I"(A) is either a coclique or an edge-regular graph but not a coedge-regular graph.

引用

页码：S175 / S181

页数：7

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