Two theorems on Engel groups-Reference-Cited by-同舟云学术

Two theorems on Engel groups

Published:1953-07 Issue:3 Volume:49 Page:377-380
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Gruenberg K. W.

Abstract

Let G be a group and let us write [x, y] = x−1y−1xy. We shall say that G is an Engel group, or that it satisfies the Engel condition, if to any pair of elements x, y in G there can be assigned an integer k (which is allowed to depend on x, y) such that

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. On Groups in which every two Conjugate Operations are Permutable

2. Groups in which the commutator operation satisfies certain algebraic conditions;Levi;J. Indian math. Soc,1942

3. Über die Gruppen mit der identischen Relation [x1, …, xi] = [x2, …, xn, x1;Meier-Wunderli;Vjschr. naturf. Ges,1949

4. (4) Hall P. Basic commutators and nilpotent groups. (To appear.)

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