4 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 are inertial, where …
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…