The classification of local m-GCI-group on finite nonabelian simple groups
Combinatorics
2019-10-16 v2
Abstract
Li and Praeger classified finite nonabelian simple groups, it has only one or two fusion classes of any certain value. As a by-product, they classified m-CI-groups, which is critical in the research of Cayley graphs. In the paper, we will consider generalized Cayley graphs. This concept is proposed by Marusic et al. In the paper, (local) m- GCI-group is defined, and we get many properties and characterizations based on the generalized Cayley isomorphism, which are the key measures for the classification of (local) m-GCI-group. And above all, we will give a classification of local 2-GCI-groups and 2-GCI-groups for finite nonabelian simple groups.
Keywords
Cite
@article{arxiv.1910.05989,
title = {The classification of local m-GCI-group on finite nonabelian simple groups},
author = {Xiao-Min Zhu and Xu Yang},
journal= {arXiv preprint arXiv:1910.05989},
year = {2019}
}