Author

Chloe So

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Preprint Oct 2026

Orbits of $p$-Nilpotent Group Actions for Small Primes

Let $G$ be a finite solvable group and $V$ be a faithful completely reducible $G$-module. We improve previous bounds for the sizes of defect groups of blocks of solvable groups through an improved bound on vector stabilizers of $p$-nilpotent groups. Specifically, if $G$ is 2-nilpotent and $2 \nmid |V|$, then there exis...

Chloe So, Yong Yang · 1 citation · ⚡1