Fixing two points in primitive solvable groups
Group Theory
2025-04-22 v3 Combinatorics
Representation Theory
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 . We show that, if the group has odd cardinality, then there exist two points whose pointwise stabilizer is abelian.
Cite
@article{arxiv.2403.09425,
title = {Fixing two points in primitive solvable groups},
author = {Francesca Lisi and Luca Sabatini},
journal= {arXiv preprint arXiv:2403.09425},
year = {2025}
}
Comments
6 pages, to appear in Comm. Algebra