Research

Graduate Student Colloquium

A Classification of Finite Groups with Three Automorphism Orbits

  • Speaker: Yanzhou Zhu (SUSTech)

  • Time: Mar 7, 2023, 16:40-17:20

  • Location: M616, College of Science Bldg.

Abstract:
The automorphism orbits of a group G is the orbits of Aut(G) acting on G. It is well-known that  a finite group has exactly two automorphism orbits if and only if G is isomorphic to a finite dimensional space over a fintie field.
In this talk, we  give a classification of finite groups with exactly three automorphism orbits. As an ``intermediate product'', we also prove a conjecture posed by Gross in 1976.

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