Pengcheng Li

activity

20192026

most cited(Co)Homology Self-closeness Numbers of Simply-connected Spaces

6 citations · 8 across the 12 of their papers we have counts for

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Showing 2021 · math.RTShow all

3 papers · 2 filters

math.RT2021

The strengthened Broué abelian defect group conjecture for $SL (2, p^{n})$ and $GL (2, p^{n})$

Xin Huang, Pengcheng Li, Jiping Zhang

We show that each $p$ -block of $SL (2, p^{n})$ and $GL (2, p^{n})$ 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 $q$ odd. We first…

math.RT2021★ 1 cited

On the inductive blockwise Alperin weight condition for the unipotent blocks of finite groups of Lie type E_6

Yucong Du, Pengcheng Li, Shuyang Zhao

In this article, we consider the finite exceptional groups of Lie type $E_{6}$ and $^{2} E_{6}$ . We prove the inductive blockwise Alperin weight condition holds for unipotent $l$ -blocks o…

The strengthened Broué abelian defect group conjecture for SL(2,pn) and GL(2,pn)

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

On the inductive blockwise Alperin weight condition for the unipotent blocks of finite groups of Lie type E_6

The strengthened Broué abelian defect group conjecture for $SL (2, p^{n})$ and $GL (2, p^{n})$