Subgroup commutativity degrees of finite groups

被引：45
|
作者：
Tarnauceanu, Marius [1 ]
机构：
[1] Alexandru Ioan Cuza Univ, Fac Math, Iasi, Romania
来源：
JOURNAL OF ALGEBRA | 2009年 / 321卷 / 09期
关键词：
Subgroup commutativity degree; Subgroup lattice; Normal subgroup lattice; Metabelian group; PROBABILITY; ELEMENTS; COMMUTE;
D O I：
10.1016/j.jalgebra.2009.02.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce and study the concept of subgroup commutativity degree of a finite group G. This quantity measures the probability of two random subgroups of G commuting. Explicit formulas are obtained for some particular classes of finite groups. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：2508 / 2520
页数：13
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