| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4586019 | Journal of Algebra | 2011 | 7 Pages |
Abstract
A subset S of a group G is called an Engel set if, for all x,y∈S, there is a non-negative integer n=n(x,y) such that . 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
