Hostname: page-component-7479d7b7d-jwnkl Total loading time: 0 Render date: 2024-07-12T06:31:16.591Z Has data issue: false hasContentIssue false
  • English
  • Français

A (locally nilpotent)-by-nilpotent variety of groups

Published online by Cambridge University Press:  14 March 2002

PAVEL SHUMYATSKY
PAVEL SHUMYATSKY
Affiliation:
Department of Mathematics, University of Brasilia, Brasilia-DF, 70910-900 Brazil. e-mail: pavel@ipe.mat.unb.br
Get access Rights & Permissions [Opens in a new window]

Abstract

Given positive integers k and n, let [Xfr ] be the class of all groups G such that γk(G) is locally nilpotent and [x1, x2, …, xk]n = 1 for any x1, x2, …, xk ∈ G. It is shown that [Xfr ] is a variety.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 132 , Issue 2 , March 2002 , pp. 193 - 196
Copyright
2002 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)