Zhicheng Feng

collaborators

5 papers

math.GR2026

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.RT2026

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…

math.RT2025

Generic weights for finite reductive groups

Zhicheng Feng, Gunter Malle, Jiping Zhang

This paper is motivated by the study of Alperin's weight conjecture in the representation theory of finite groups. We generalize the notion of $e$ -cuspidality in the $e$ -Harish-Cha…

math.RT2025

Alperin's bound and normal Sylow subgroups

Zhicheng Feng, J. Miquel MartÃnez, Damiano Rossi

Let $G$ be a finite group, $p$ a prime number and $P$ a Sylow $p$ -subgroup of $G$ . Recently, G. Malle, G. Navarro, and P. H. Tiep conjectured that the number of $p$ -Brauer characte…

math.RT2025

Character triples and weights

Zhicheng Feng

We define a new relation between character triples and prove some Clifford theory properties for weights in terms of character triples.