MAXIMAL SUBGROUPS OF SUBNORMAL SUBGROUPS OF GLn(D) WITH FINITE CONJUGACY CLASSES

被引：4

作者：

Kiani, Dariush ^{[1
,2
]}

Ramezan-Nassab, Mojtaba ^{[2
]}

机构：

[1] Amirkabir Univ Technol, Tehran Polytech, Dept Math & Comp Sci, Tehran, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 01期

关键词：

Division ring; FC-group; Maximal subgroup; Subnormal sub-group; IDENTITIES;

D O I：

10.1080/00927870903451926

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be an infinite division ring. A famous result due to Herstein says that every noncentral element of D has infinitely many conjugates in D. So, if D* is an FC-group, then D is a field. Now let N be a subnormal subgroup of GL(n)(D), where n >= 1, and M a maximal subgroup of N. In this article, we prove that if M is an FC-group, then M is contained in the multiplicative group of some subfield of M-n(D).

引用

页码：169 / 175

页数：7

共 18 条

[1] Maximal subgroups of GLn (D) [J].