FINITE GROUPS WITH THREE RELATIVE COMMUTATIVITY DEGREES

被引：0

作者：

Barzgar, R. ^{[1
,2
]}

Erfanian, A. ^{[1
]}

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

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad 91775, Iran

[2] Ferdowsi Univ Mashhad, Ctr Excellence Anal Algebra Struct, Mashhad 91775, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2013年 / 39卷 / 02期

关键词：

Commutativity degree; relative commutativity degree; isoclinism; relative isoclinism;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a finite group G and a subgroup H of G, the relative commutativity degree of H in G, denoted by d(H, G), is the probability that an element of H commutes with an element of G. Let D(G) = {d(H,G): H <= G} be the set of all relative commutativity degrees of subgroups of G. It is shown that a finite group G admits three relative commutativity degrees if and only if G/Z(G) is a non-cyclic group of order pq, where p and q are primes. Moreover, we determine all the relative commutativity degrees of some known groups.

引用

页码：271 / 280

页数：10

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