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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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Showing 2021Show all

5 papers · 1 filter

math.RT2021

The strengthened Broué abelian defect group conjecture for and

Xin Huang, Pengcheng Li, Jiping Zhang

We show that each -block of and over an arbitrary complete discrete valuation ring is splendidly Rickard equivalent to its Brauer corresponde…

math.RT2021

Categorical actions and derived equivalences for finite odd-dimensional orthogonal groups

Pengcheng Li, Yanjun Liu, Jiping Zhang

In this paper we prove that Broué's abelian defect group conjecture is true for the finite odd-dimensional orthogonal groups $\SO_{2n+1}(q)$ at linear primes with odd. We first…

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…

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…

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…