Turkish Journal of Mathematics
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, GARY
(2019)
"Some Sufficient conditions for a group to be abelian,"
Turkish Journal of Mathematics: Vol. 43:
No.
3, Article 50.
https://doi.org/10.3906/mat-1901-6
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss3/50
