Maximal Subgroups of Skew Linear Groups

• 来源期刊: 代数集刊（英文版）
• 关键词: division ring subnormal finitely generated
• 年，卷（期）: 2002,（1）
• 页码范围: 1-6
• 页数: 6页
• 语种: 英文

摘要

Let D be an infinite division algebra of finite dimension over its centre Z(D) = F, and n a positive integer. The structure of maximal subgroups of skew linear groups are investigated. In particular, assume N is a normal subgroup of GLn(D) and M is a maximal subgroup of N containing Z(N). It is shown that if M/Z(N) is finite, then N is central.