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

被引：0

作者：

N. D. Zyulyarkina

机构：

[1] South Ural State University,

来源：

Proceedings of the Steklov Institute of Mathematics | 2012年 / 279卷

关键词：

finite group; cyclic ; -subgroup; commutation graph;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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

引用

页码：175 / 181

页数：6

共 10 条

[1]

Makhnev A. A.(1985)undefined Math. USSR-Sb. 55 237-undefined

[2]

Zyulyarkina N. D.(1992)undefined Trudy Inst. Mat. Mekh. UrO RAN 2 19-undefined

[3]

Makhnev A. A.(1994)undefined Trudy Inst. Mat. Mekh. UrO RAN 3 41-undefined

[4]

Zyulyarkina N. D.(1982)undefined Trans. Amer. Math. Soc. 272 1-undefined

[5]

Makhnev A. A.(1988)undefined Arch. Math. (Basel) 51 97-undefined

[6]

Harris M. E.(1992)undefined Math. USSR-Izv. 38 299-undefined

[7]

Hochheim Y.(1964)undefined Ann. Math. 80 58-undefined

[8]

Timmesfeld F.(undefined)undefined undefined undefined undefined-undefined

[9]

Makhnev A. A.(undefined)undefined undefined undefined undefined-undefined

[10]

Suzuki M.(undefined)undefined undefined undefined undefined-undefined

← 1 →