Yuanyang Zhou

activity

20232026

collaborators

6 papers

math.GR2026

Extensions of inertial blocks

Kun Zhang, Yuanyang Zhou

In this paper, with suitable assumptions, we generalize the work of Külshammer and Puig on extensions of nilpotent blocks to inertial blocks.

math.GR2026

Inertial 2-blocks with abelian defect groups

Kun Zhang, Yuanyang Zhou

L. Puig defined inertial blocks. In this paper, we prove that 2-blocks with defect group $C_{2^{n_{1}}} \times C_{2^{n_{2}}} \times ... \times C_{2^{n_{t}}}$ are inertial, where $n_{i} \geq 2$ …

math.GR2026

Blocks with a single automorphism orbit of irreducible Brauer characters

Fuming Jiang, Kun Zhang, Yuanyang Zhou

Fix a prime $p$ . Let $G ⊴ G ~$ be finite groups such that $∣ G ~ : G ∣$ is a power of $p$ , and let $b ~$ be a block of $G ~$ with abelian defect groups…

math.GR2026

Hyperfocal subalgebras of hyperfocal abelian Frobenius blocks

Xueqin Hu, Kun Zhang, Yuanyang Zhou

In this paper, we introduce a class of blocks which is called hyperfocal abelian Frobenius blocks.This class of blocks is an analogous version of the block with abelian defect grou…

math.GR2025

A reduction theorem for the blockwise Navarro Alperin weight conjecture via H-triples

Zhicheng Feng, Qulei Fu, Yuanyang Zhou

The Galois Alperin weight (GAW) conjecture has been reduced to the inductive GAW condition for simple groups. We proceed in two steps to refine this reduction. First, we propose th…

math.RT2023

A reduction theorem for the Navarro Alperin weight conjecture

Zhicheng Feng, Qulei Fu, Yuanyang Zhou

The Alperin weight conjecture has been reduced to simple groups by Navarro and Tiep. In this paper, we investigate the Navarro Alperin weight conjecture, which includes Galois auto…