Finite Groups with Four Relative Commutativity Degrees

作     者：A. Erfanian M. Farrokhi D.G. 

作者机构：Department of Pure Mathematics and Center of Excellence in Analysison Algebraic Structures Ferdowsi University of Mashhad Mashhad Iran Department of Pure Mathematics Ferdowsi University of Mashhad Mashhad Iran 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2015年第22卷第3期

页      面：449-458页

核心收录：

学科分类：081702[工学-化学工艺] 07[理学] 08[工学] 0817[工学-化学工程与技术] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：relative commutativity degree commutativity degree finite group 

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.