Turkish Journal of Mathematics
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
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