2019
DOI: 10.1016/j.jalgebra.2019.07.022
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On the inductive blockwise Alperin weight condition for classical groups

Abstract: 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 blockwise Alperin weight condition for simple groups of classical type under some additional assumption.

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Cited by 18 publications
(24 citation statements)
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References 61 publications
(215 reference statements)
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“…• G = Spin 2n+1 (q) (with n ≥ 2), Spin − 2n (q) (with n ≥ 4) or Spin + 2n (q) (with n ≥ 5) and both q and ℓ are odd (cf. [28]),…”
Section: Then Any Block B In S Is Baw-goodmentioning
confidence: 99%
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“…• G = Spin 2n+1 (q) (with n ≥ 2), Spin − 2n (q) (with n ≥ 4) or Spin + 2n (q) (with n ≥ 5) and both q and ℓ are odd (cf. [28]),…”
Section: Then Any Block B In S Is Baw-goodmentioning
confidence: 99%
“…[23]). We mention that for the case G = Sp 2n (q) and odd ℓ, the statement in [28] assumes that q is odd. For even q, the proof for odd q in [28] also applies, using the weights given in [43, §6].…”
Section: Then Any Block B In S Is Baw-goodmentioning
confidence: 99%
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“…Du), pcli17@pku.edu.cn (P. Li), zsy0509@pku.edu.cn (S. Zhao). groups, simple groups of type 2 F 4 , see [37]; simple groups of Lie type in the defining characteristic, simple groups of type 2 B 2 and 2 G 2 , see [41]; simple groups of type G 2 and 3 D 4 , see [40]; some cases of type A, see [16], [17] and [19]; the case of type C under the assumption that the decomposition matrix with respect to E(G, l ′ ) is unitriangular, see [20] and [29]; unipotent blocks of classical groups, see [18].…”
Section: W(b)| = |Ibr(b)|mentioning
confidence: 99%
“…In [14], the case for type C and linear primes are considered using a different method; they also consider some other cases for classical groups.…”
Section: Introductionmentioning
confidence: 99%