Author

Baoyu Zhang

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Preprint Sep 2026

On the inductive blockwise Alperin weight condition for type $\mathsf B$ and type $\mathsf C$

The purpose of this paper is to prove that every finite simple group of type $\mathsf B$ or $\mathsf C$ satisfies the inductive blockwise Alperin weight condition at every prime $\ell$ dividing its order. For ${\rm PSp}_{2n}(q)$, where $q$ is odd and $n\geq3$, a permutation lattice argument based on Conlon's induction...

Bao-Yu Zhang · 0 citations

Preprint Aug 2026

A Proof of Gluck's Conjecture

For a finite group $H$, let $\nu(H)$ denote the maximum order of a nilpotent subgroup of $H$. We prove that every finite solvable transitive permutation group $P$ on a finite set $\Omega$ has a subset $\Delta\subseteq\Omega$ such that $|P:P_\Delta|\ge\nu(P_\Delta)$. We also prove that if a finite solvable group $H$ act...

Bao-Yu Zhang · 0 citations