Regular orbits of finite primitive solvable groups, the final classification

Derek Holt; Yong Yang

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arXiv · 2112.07505

Regular orbits of finite primitive solvable groups, the final classification

Derek Holt·Yong Yang

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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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Derek Holt, Yong Yang. 2021-12-14. Regular orbits of finite primitive solvable groups, the final classification. https://arxiv.org/abs/2112.07505

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