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Cubic graphical regular representations of non-abelian simple groups

郑莎莎 Shasha Zheng

University of Melbourne

Time: 16:00-18:00 (GMT+8), Tuesday May 10th, 2022
Location: Tencent Meeting

Abstract: A graphical regular representation (GRR) of a group \(G\) is a Cayley graph of \(G\) whose full automorphism group is equal to the right regular permutation representation of \(G\). In this talk, we study cubic graphical regular representations of several families of classical simple groups and confirm a conjecture by Fang and Xia which asserts that except for a finite number of cases every finite non-abelian simple group has a cubic GRR.

Host: 黄弘毅 Hong Yi Huang