On the odd order subgroups of solvable linear groups

被引：0

作者：

Bian, Fang ^{[1
]}

Chen, Xiaoyou ^{[2
]}

Yang, Yong ^{[3
,4
]}

机构：

[1] China Three Gorges Univ, Coll Sci, Yichang, Hubei, Peoples R China

[2] Henan Univ Technol, Coll Sci, Zhengzhou, Peoples R China

[3] China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang, Hubei, Peoples R China

[4] Texas State Univ, Dept Math, 601 Univ Dr, San Marcos, TX 78666 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 09期

关键词：

Linear groups; order; vector space; ORBITS;

D O I：

10.1080/00927872.2024.2329334

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first strengthen a few results about the order of solvable linear groups of odd order. We then use these results to bound the product of the orders of odd-order composition factors in a composition series of an arbitrary finite linear group.

引用

页码：3762 / 3772

页数：11

共 13 条

[1] On the odd order composition factors of finite linear groups [J].

Betz, Alexander ;

Chao-Haft, Max ;

Gong, Ting ;

Ter-Saakov, Anthony ;

Yang, Yong .

JOURNAL OF GROUP THEORY, 2020, 23 (06) :1057-1068

[2] MAXIMUM ORDER OF GROUP OF A TOURNAMENT [J].

DIXON, JD .

CANADIAN MATHEMATICAL BULLETIN, 1967, 10 (04) :503-&

[3] Intersections of odd order Hall subgroups [J].

Dolfi, S .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2005, 37 :61-66

[4] BOUNDING THE ORDERS OF NILPOTENT SUBGROUPS OF SOLVABLE LINEAR GROUPS [J].

Gao, Yinling ;

Yang, Yong .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (05) :1605-1618

[5]

Huppert B., 1982, Finite groups II, V2

[6]

Huppert Bertram, 1967, Finite Groups I

[7] Regular orbits of self-dual modules [J].

Jin, Ping ;

Yang, Yong .

ARCHIV DER MATHEMATIK, 2021, 116 (06) :629-635

[8]

Manz O., 1993, LONDON MATH SOC LECT

[9]

Palfy P. P, 1990, REND CIRC MAT PALERM, P253

[10] ORBITS OF THE ACTIONS OF ODD-ORDER SOLVABLE GROUPS [J].

Yang, Yong .

COMMUNICATIONS IN ALGEBRA, 2012, 40 (02) :565-574

← 1 2 →