Maximal Subgroups in the Classical Groups Normalizing Solvable Subgroups

被引：0

作者：

Yu Cheng YANG ^{[1
]}

Shang Zhi LI ^{[1
]}

机构：

[1] School of Mathematics and Systems Science, Beihang University

来源：

ActaMathematicaSinica,EnglishSeries | 2021年 / 05期

关键词：

D O I：

暂无

中图分类号：

O152 [群论];

学科分类号：

070104 ;

摘要：

Let G be a classical group over an arbitrary field F,acting on an n-dimensional vector space V=V（n,F） over a field F.In this paper,we classify the maximal subgroups of G,which normalizes a solvable subgroup N of GL（L,F） not lying in F;1;.

引用

页码：740 / 752

页数：13

共 50 条

[41] ON SUBGROUPS OF FINITE SOLVABLE GROUPS
MANN, A
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 22 (01) : 214 - &
[42] SOLVABLE SUBGROUPS OF UNITARY GROUPS
DETINKO, AS
SIBERIAN MATHEMATICAL JOURNAL, 1994, 35 (02) : 286 - 293
[43] SUBGROUPS OF FREE SOLVABLE GROUPS
LEWIN, J
LEWIN, T
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (07): : 1054 - &
[44] On maximal subgroups of Sylow subgroups of finite groups
Asaad, M
COMMUNICATIONS IN ALGEBRA, 1998, 26 (11) : 3647 - 3652
[45] Finite π-Solvable Groups Whose Maximal Subgroups Have the Hall Property
Monakhov, V. S.
MATHEMATICAL NOTES, 2008, 84 (3-4) : 363 - 366
[46] Finite π-solvable groups whose maximal subgroups have the Hall property
V. S. Monakhov
Mathematical Notes, 2008, 84 : 363 - 366
[47] ON THE ORDERS OF MAXIMAL-SUBGROUPS OF THE FINITE CLASSICAL-GROUPS
LIEBECK, MW
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1985, 50 (MAY) : 426 - 446
[48] On the chief factors of maximal parabolic subgroups of twisted classical groups
V. V. Korableva
Siberian Mathematical Journal, 2015, 56 : 879 - 887
[49] Finite groups whose maximal subgroups of sylow p-subgroups admit a p-solvable supplement
GuoHua Qian
Science China Mathematics, 2013, 56 : 1015 - 1018
[50] Maximal Antipodal Subgroups of some Compact Classical Lie Groups
Tanaka, Makiko Sumi
Tasaki, Hiroyuki
JOURNAL OF LIE THEORY, 2017, 27 (03) : 801 - 829

← 1 2 3 4 5 →