On Free Polyadic Groups
Group Theory
2025-07-01 v3
Abstract
In this article, for a polyadic group(G,f),derived from group G by automorphism G and element b, we give a necessary and sufficient condition in terms of the group, the automorphism G, and the element b, in order that the polyadic group becomes free.
Cite
@article{arxiv.1905.11821,
title = {On Free Polyadic Groups},
author = {Gholamhosein Fathtabar and Hamid Khodabandeh and Kosar Yousefi},
journal= {arXiv preprint arXiv:1905.11821},
year = {2025}
}
Comments
Some results are not true. arXiv admin note: substantial text overlap with arXiv:1508.07726