Finite Groups with Four Relative Commutativity Degrees

被引：3

作者：

Erfanian, A. ^{[1
,2
]}

Farrokhi, M. D. G. ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Iran

[2] Ferdowsi Univ Mashhad, Ctr Excellence Anal Algebra Struct, Mashhad, Iran

来源：

ALGEBRA COLLOQUIUM | 2015年 / 22卷 / 03期

关键词：

relative commutativity degree; commutativity degree; finite group; PROBABILITY; ELEMENTS;

D O I：

10.1142/S1005386715000401

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 p(3) and G has no abelian maximal subgroups, or G/Z(G) is a Frobenius group with Frobenius kernel and complement isomorphic to Z(p) x Z(p) and Z(q), respectively, and the Sylow p-subgroup of G is abelian, where p and q are distinct primes.

引用

页码：449 / 458

页数：10

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