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Turkish Journal of Mathematics

Authors

GARY WALLS

DOI

10.3906/mat-1901-6

Abstract

A group is said to satisfy a word $w$ in the symbols $\{x, x^{-1}, y, y^{-1} \}$ provided that if the 'x' and 'y' are replaced by arbitrary elements of the group then the equation $w=1$ is satisfied. This paper studies certain equations in words, as above, which together with other conditions imply that groups which satisfy these equations and conditions must be abelian.

Keywords

Group laws, commutators, abelian groups

First Page

1776

Last Page

1780

Included in

Mathematics Commons

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