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 [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.
Groups generated by a finite Engel set
TORTORA, ANTONIO
2011-01-01
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 [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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
