6 papers
Blocks with only one irreducible Brauer character orbit
Fuming Jiang, Kun Zhang, Yuanyang Zhou
In this paper, we confirm the Kessar-Linckelmann conjecture for blocks with abelian defect groups. More generally, we prove that if a covered block with abelian defect groups has i…
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.
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…
On the Sum of Squares of Irreducible Brauer Character Degrees in Blocks
Hanxiao Li, Kun Zhang
We study a weakened version of the Holm--Willems Local Conjecture. The problem is reduced to quasi-simple groups under the assumption that the defect group is abelian. Complete pro…
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 …
2-blocks with abelian defect groups and inertial quotient of prime order
Qianhu Zhou, Kun Zhang
In this paper, we classify all -blocks for which the defect groups are abelian and the inertial quotient has prime order. As a consequence, we prove that Broué's abelian defect…