Cubic Graphical Regular Representations of $\mathrm{PSU}_3(q)$
Group Theory
2022-01-13 v1 Combinatorics
Abstract
A graphical regular representation (GRR) of a group is a Cayley graph of whose full automorphism group is equal to the right regular permutation representation of . Towards a proof of the conjecture that only finitely many finite simple groups have no cubic GRR, this paper shows that has a cubic GRR if and only if . Moreover, a cubic GRR of is constructed for each of these .
Cite
@article{arxiv.2201.04307,
title = {Cubic Graphical Regular Representations of $\mathrm{PSU}_3(q)$},
author = {Jing Jian Li and Binzhou Xia and Xiao Qian Zhang and Shasha Zheng},
journal= {arXiv preprint arXiv:2201.04307},
year = {2022}
}