7 papers
On the number of -regular conjugacy classes
Zhicheng Feng
In this paper, we prove that for , the number of -regular conjugacy classes of a finite group is at least that of the normalizer of a Sylow -subgroup.
The Brauer condition and Navarro's conjecture on Brauer characters under coprime actions
Zhicheng Feng, Lin Wu
In this paper, we prove the Brauer condition for good non-defining primes. Consequently, we show a conjecture of Navarro on coprime actions and Brauer characters for pr…
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…
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 -cuspidality in the -Harish-Cha…
Alperin's bound and normal Sylow subgroups
Zhicheng Feng, J. Miquel Martínez, Damiano Rossi
Let be a finite group, a prime number and a Sylow -subgroup of . Recently, G. Malle, G. Navarro, and P. H. Tiep conjectured that the number of -Brauer characte…
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.
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…