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.

DOI

10.3906/mat-1901-6

Keywords

Group laws, commutators, abelian groups

First Page

1776

Last Page

1780

Recommended Citation

WALLS, G (2019). Some Sufficient conditions for a group to be abelian. Turkish Journal of Mathematics 43 (3): 1776-1780. https://doi.org/10.3906/mat-1901-6

Download