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arXiv · 2403.09425

Fixing two points in primitive solvable groups

Francesca Lisi·Luca Sabatini
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Abstract

Consider a finite primitive solvable group. We observe that a result of Y. Yang implies that there exist two points whose pointwise stabilizer has derived length at most $9$. We show that, if the group has odd cardinality, then there exist two points whose pointwise stabilizer is abelian.

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Francesca Lisi, Luca Sabatini. 2024-03-14. Fixing two points in primitive solvable groups. https://doi.org/10.1080/00927872.2025.2486398

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