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arXiv · 1910.05989

The classification of local m-GCI-group on finite nonabelian simple groups

Xiao-Min Zhu·Xu Yang
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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.

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Xiao-Min Zhu, Xu Yang. 2019-10-14. The classification of local m-GCI-group on finite nonabelian simple groups. https://arxiv.org/abs/1910.05989

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