On Hom-Groups and Hom-Group actions
Rings and Algebras
2020-12-15 v2
Abstract
A Hom-group is the non-associative generalization of a group, whose associativity and unitality are twisted by a compatible bijective map. In this paper, we give some new examples of Hom-groups, and show the first and the second isomorphism fundamental theorems of homomorphisms on Hom-groups. We also introduce the notion of Hom-group action, and as an application, we show the first Sylow theorem for Hom-groups along the line of group actions.
Keywords
Cite
@article{arxiv.2003.14193,
title = {On Hom-Groups and Hom-Group actions},
author = {Liangyun Chen and Tianqi Feng and Yao Ma and Ripan Saha and Hongyi Zhang},
journal= {arXiv preprint arXiv:2003.14193},
year = {2020}
}
Comments
24pages