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

[1] Maximal Subgroups in the Classical Groups Normalizing Solvable Subgroups
Yang, Yu Cheng
Li, Shang Zhi
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021, 37 (05) : 740 - 752
[2] Maximal Subgroups in the Classical Groups Normalizing Solvable Subgroups
Yu Cheng Yang
Shang Zhi Li
Acta Mathematica Sinica, English Series, 2021, 37 : 740 - 752
[3] Maximal Subgroups in the Classical Groups Normalizing Solvable Subgroups
Hou, Xin
Li, Shangzhi
Yang, Yucheng
ALGEBRA COLLOQUIUM, 2021, 28 (02) : 181 - 194
[4] MAXIMAL SUBGROUPS OF SOLVABLE GROUPS
BUCHTHAL, DC
ARCHIV DER MATHEMATIK, 1975, 26 (03) : 234 - 235
[5] FINITE GROUPS WITH SOLVABLE MAXIMAL SUBGROUPS
RANDOLPH, JW
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 23 (03) : 490 - +
[6] Solvable subgroups in groups with self-normalizing subgroup
E. N. Yakovleva
Ukrainian Mathematical Journal, 2008, 60 : 2015 - 2020
[7] Solvable subgroups in groups with self-normalizing subgroup
Yakovleva, E. N.
UKRAINIAN MATHEMATICAL JOURNAL, 2008, 60 (12) : 2015 - 2020
[8] On the Maximal Solvable Subgroups of Semisimple Algebraic Groups
Azad, Hassan
Biswas, Indranil
Chatterjee, Pralay
JOURNAL OF LIE THEORY, 2012, 22 (04) : 1169 - 1179
[9] Primitive characters of maximal subgroups of solvable groups
Isaacs, I. M.
Wilde, Tom
JOURNAL OF ALGEBRA, 2010, 323 (02) : 419 - 436
[10] Maximal and Sylow subgroups of solvable finite groups
Monakhov, VS
Gribovskaya, EE
MATHEMATICAL NOTES, 2001, 70 (3-4) : 545 - 552

← 1 2 3 4 5 →