2-Local Amalgams for the Simple Groups GL(5, 2), M24 and He, Ⅱ

• 来源期刊: 代数集刊（英文版）
• 关键词: sporadic simple groups amolgams universal completions
• 年，卷（期）: 2003,（3）
• 页码范围: 373-380
• 页数: 8页
• 语种: 英文

摘要

We elaborate on a method of G. Michler [6] to construct finite groups with a prescribed involution centralizer H using compatible pairs and amalgamation of H and another naturally arising 2-local subgroup. Modifying this approach we deal with the particular set-up leading to the simple groups GL(5, 2), M24 and He and characterize these groups as the universal completions of certain 2-local amalgams of rank 3.