A Note on Subgroup Perfect Codes in Cayley Graphs
Combinatorics
2025-02-11 v1
Abstract
In this paper, we give a necessary and sufficient condition for a subgroup to be a perfect code for finite groups. As an application, we determine all subgroup perfect codes of extraspecial 2-groups and finite groups whose Sylow 2-subgroup is extraspecial.
Keywords
Cite
@article{arxiv.2502.06162,
title = {A Note on Subgroup Perfect Codes in Cayley Graphs},
author = {Li Jingjian and Li Binbin and Liu Xianglin},
journal= {arXiv preprint arXiv:2502.06162},
year = {2025}
}