A Characterization of PSL(2, q), q =5, 7

• 来源期刊: 代数集刊（英文版）
• 关键词: simple groups solvable groups posets of isomorphic subgroups
• 年，卷（期）: 2019,（4）
• 页码范围: 561-564
• 页数: 4页
• 语种: 英文
• DOI: 10.1142/S1005386719000415

摘要

In this short note we prove that the finite non-abelian simple groups PSL(2,q),where q =5,7,are determined by their posets of classes of isomorphic subgroups.Several interesting open problems are also formulated.