Finite Groups with Four Relative Commutativity Degrees

• 作者: A. Erfanian M. Farrokhi D.G.
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 有限群 FROBENIUS群 交换度 四相 阿贝尔子群 Sylow P-子群 同构
• 年，卷（期）: 2015,（3）
• 页码范围: 449-458
• 页数: 10页
• 分类号: O152.1
• 语种: 中文

摘要

It is shown that a finite group G has four relative commutativity degrees if and only if G/Z(G) is a p-group of order p3 and G has no abelian maximal subgroups, or G/Z(G) is a Frobenius group with Frobenius kernel and complement isomorphic to Zp * Zp and Zq, respectively, and the Sylow p-subgroup of G is abelian, where p and q are distinct primes.