ON THE PROBABILITY OF BEING A 2-ENGEL GROUP

被引：0
|
作者：
Erfanian, A. [1 ,2 ]
Farrokhi, M. D. G. [3 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Pure Math, POB 917751159, Mashhad, Iran
[2] Ferdowsi Univ Mashhad, Ctr Excellence Anal Algebra Struct, Mashhad, Iran
[3] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Iran
来源：
INTERNATIONAL JOURNAL OF GROUP THEORY | 2013年 / 2卷 / 04期
关键词：
Probability; 2-Engel condition; 3-metabelian;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a finite group and d2 (G) denotes the probability that [x, y, y] = 1 for randomly chosen elements x, y of G. We will obtain lower and upper bounds for d2 (G) in the case where the sets EG (x) = {y is an element of G : [y, x, x] = 1} are subgroups of G for all x is an element of G. Also the given examples illustrate that all the bounds are sharp.
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页码：31 / 38
页数：8
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