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20182024
most citedEquivariant correspondences and the inductive Alperin weight condition for type

7 citations · 28 across the 10 of their papers we have counts for

collaborators

10 papers

math.RT2024

Radical subgroups of finite reductive groups

Zhicheng Feng, Jun Yu, Jiping Zhang

Radical subgroups play an important role in both finite group theory and representation theory. This is the first of a series of papers of ours in classifying radical -subgroups…

math.RT2021

Unitriangular basic sets, Brauer characters and coprime actions

Zhicheng Feng, Britta Späth

We show that the decomposition matrix of a given group is unitriangular, whenever has a normal subgroup such that the decomposition matrix of is unitriangular, $G/N…

math.RT2021★ 1 cited

Morita equivalences and the inductive blockwise Alperin weight condition for type

Zhicheng Feng, Zhenye Li, Jiping Zhang

As a step to establish the blockwise Alperin weight conjecture for all finite groups, we verify the inductive blockwise Alperin weight condition introduced by Navarro--Tiep and Spä…

physics.plasm-ph2021★ 3 cited

Proposal of A Linked Mirror Configuration for Magnetic Confinement Experiment

Zhichen Feng, Guodong Yu, Peiyou Jiang +1

A new linked mirror device for magnetic confinement experiment is proposed. The new linked mirror device consists of two straight magnetic mirrors connected by two half-torus. The…

math.RT2021★ 4 cited

Jordan decomposition for weights and the blockwise Alperin weight conjecture

Zhicheng Feng, Zhenye Li, Jiping Zhang

The Alperin weight conjecture was reduced to simple groups by the work of Navarro, Tiep and Späth. To prove Alperin weight conjecture, it suffices to show that all finite non-abeli…

math.RT2020★ 4 cited

On the inductive blockwise Alperin weight condition for type

Zhicheng Feng, Conghui Li, Jiping Zhang

In this paper we prove the blockwise Alperin weight conjecture for finite special linear and unitary groups, for finite groups with abelian Sylow -subgroups, and verify the indu…

math.RT2020★ 7 cited

Equivariant correspondences and the inductive Alperin weight condition for type

Zhicheng Feng, Conghui Li, Jiping Zhang

In this paper, we establish the inductive Alperin weight condition for the finite simple groups of Lie type , contributing to the program to prove the Alperin weight con…

math.RT2020★ 1 cited

The inductive blockwise Alperin weight condition for type and the prime

Zhicheng Feng, Gunter Malle

We establish the inductive blockwise Alperin weight condition for simple groups of Lie type and the bad prime . As a main step, we derive a labelling set for the irr…

math.RT2019★ 3 cited

On the inductive blockwise Alperin weight condition for classical groups

Zhicheng Feng, Zhenye Li, Jiping Zhang

Recently, there has been substantial progress on the Alperin weight conjecture. As a step to establish the Alperin weight conjecture for all finite groups, we prove the inductive b…

math.RT2018★ 5 cited

The blocks and weights of finite special linear and unitary groups

Zhicheng Feng

This paper has two main parts. Firstly, we give a classification of the -blocks of finite special linear and unitary groups in the non-defining characteristic $\el…