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20062026
most citedEquivariant correspondences and the inductive Alperin weight condition for type

7 citations · 26 across the 29 of their papers we have counts for

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14 papers · 1 filter

math.GR2026

A Proof of the Isaacs_Navarro_Wolf Conjecture

Quanfu Yan, Jiping Zhang

An element of a finite group is non-vanishing if no irreducible complex character vanishes on it. We prove that every non-vanishing element of a finite solvable group belongs to th…

math.GR2026

Thompson's Conjecture for Finite Simple Groups of Lie Type over Small Fields

Jun Liao, Lizhong Wang, Jiping Zhang

We prove that every finite simple group of Lie type over a field of order at most 8 contains a conjugacy class whose square is the whole group. Together with the previously establi…

math.GR2025

The Blockwise Navarro Alperin Weight Conjecture for Double Covers of Symmetric and Alternating Groups

Yucong Du, Xin Huang, Jiping Zhang

We prove the blockwise Navarro Alperin weight conjecture for double covers of symmetric and alternating groups.

math.GR2024

Control of fusion by elementary abelian subgroups of rank at least 2

Lizhong Wang, Xingzhong Xu, Jiping Zhang

In this paper, we focus on the subgroups control -fusion, and we improve the Theorem B of [4] for odd prime. For odd prime, we prove that elementary abelian subgroups of rank at…

math.GR2022

On the local rank of fusion systems

Jun Liao, Heguo Liu, Baoshan Wang +1

In this paper we define the notion of local rank for fusion systems so as to reformulate the Alperin's weight conjecture in the framework of block fusion systems following the work…

math.GR2021

A weak form of a conjecture on vanishing of group cohomology for blocks

Heguo Liu, Xingzhong Xu, Jiping Zhang

In this paper, we get an elementary and important lemma(See Lemma 3.2) which is about pushout and pullback of modules. And we prove a weak form of a long open conjecture on vanishi…