SOLUBLE MAXIMAL SUBGROUPS IN GLn(D)

被引：8

作者：

Dorbidi, H. R. ^{[1
]}

Fallah-Moghaddam, R. ^{[1
]}

Mahdavi-Hezavehi, M. ^{[1
]}

机构：

[1] Sharif Univ Technol, Dept Math Sci, Tehran, Iran

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2011年 / 10卷 / 06期

关键词：

Solvable group; maximal subgroup; division ring;

D O I：

10.1142/S0219498811005233

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let D be an F-central non-commutative division ring. Here, it is proved that if GL(n)(D) contains a non-abelian soluble maximal subgroup, then n = 1, [D : F] < infinity, and D is cyclic of degree p, a prime. Furthermore, a classification of soluble maximal subgroups of GL(n)(F) for an algebraically closed or real closed field F is also presented. We then determine all soluble maximal subgroups of GL(2)(F) for fields F with Char F not equal 2.

引用

页码：1371 / 1382

页数：12

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