Groups generated by a finite Engel set

被引：3
|
作者：
Abdollahi, Alireza [2 ,3 ]
Brandl, Rolf [4 ]
Tortora, Antonio [1 ]
机构：
[1] Univ Salerno, Dipartimento Matemat, I-84084 Fisciano, SA, Italy
[2] Univ Isfahan, Dept Math, Esfahan 8174673441, Iran
[3] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
[4] Math Inst, D-97074 Wurzburg, Germany
来源：
JOURNAL OF ALGEBRA | 2011年 / 347卷 / 01期
关键词：
Engel set; Nilpotent group; NILPOTENT;
D O I：
10.1016/j.jalgebra.2011.09.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A subset S of a group G is called an Engel set if, for all x, y is an element of S. there is a non-negative integer n = n(x, y) such that [x, (n)y] = 1. In this paper we are interested in finding conditions for a group generated by a finite Engel set to be nilpotent. In particular, we focus our investigation on groups generated by an Engel set of size two. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：53 / 59
页数：7
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