A NOTE ON THE RELATIVE COMMUTATIVITY DEGREE OF FINITE GROUPS

被引：1
|
作者：
Rezaei, Rashid [1 ]
Erfanian, Ahmad [2 ,3 ]
机构：
[1] Malayer Univ, Fac Sci, Dept Math, POB 65719, Malayer 95863, Iran
[2] Ferdowsi Univ Mashhad, Dept Math, Mashhad 48953, Iran
[3] Ferdowsi Univ Mashhad, Ctr Excellence Anal Algebra Struct, Mashhad 48953, Iran
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2014年 / 7卷 / 01期
关键词：
Relative commutativity degree; relative nth nilpotency degree; isoclinism; extra special p-group;
D O I：
10.1142/S179355711450017X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to give a relation between the notion of the commutativity degree of a finite group G (denoted by d(G)) and that of isoclinism between G and an extra special p-group, where p is the smallest prime number dividing |G|. Moreover, some improvements of the results on the relative commutativity degree and relative nth nilpotency degree of a subgroup of finite groups given in [A. Erfanian, R. Rezaei and P. Lescot, On the relative commutativity degree of a subgroup of a finite group, Comm. Algebra 35 (2007) 4183-4197] are also stated in this paper.
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页数：9
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