Regular and p-Regular Orbits of Solvable Linear Groups, II

作者：Keller, Thomas Michael; Yang, Yong^*

来源：ALGEBRA COLLOQUIUM, 2023, 30(02): 301-304.

DOI：10.1142/S100538672300024X

• regular orbits
• solvable linear groups
• group action

Let V be a faithful G-module for a finite group G and letp be a prime dividing |G|. An orbit v(G) for the action of G onV is regular if |v(G)|=|G:C-G(v)|=|G|, and is p-regular if |v(G)|(p)=|G:C-G(v)|(p)=|G|(p). In this note, we study two questions, one by the authors and one by Isaacs, related to the p-regular orbits and regular orbits of the linear group actions.

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