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.
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页码：449 / 458
页数：10
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