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SUSTech

Time: 16:00-18:00 (GMT+8), Monday December 19th, 2022

Location: Tencent Meeting

**Abstract:**
Denote by \(\omega(G)\) the number of orbits of the action of Aut\((G)\) on a finite group \(G\).
It is well-known that \(\omega(G)=2\) if and only if \(G\) is an elementary abelian \(p\)-group.
A classification of finite groups \(G\) with \(\omega(G)=3\) will be given in this talk.
As an "intermediate product", we also prove a conjecture posed by Gross in 1976.

Host: 谢贻林 Yilin Xie