Regular orbits of finite primitive solvable groups, the final classification

2021/12/14 by Holt, Derek, Yang, Yong
#20C15 #20C20 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2112.07505

Abstract

Suppose that a finite solvable group G acts faithfully, irreducibly and quasi-primitively on a finite vector space V, and G is not metacyclic. Then G always has a regular orbit on V except for a few "small" cases. We completely classify these cases in this paper.

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