Local-global conjectures in the representation theory of finite groups

zbMath1390.20006arXiv1512.01145MaRDI QIDQ5283700

Gunter Malle

Publication date: 24 July 2017

Full work available at URL: https://arxiv.org/abs/1512.01145

zbMATH Keywords

reduction theoremsMcKay conjectureAlperin-McKay conjectureAlperin weight conjectureBrauer's height zero conjectureDade conjecturelocal global conjectures

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (9)

Alperin weight conjecture and related developments ⋮ Jordan decomposition for weights and the blockwise Alperin weight conjecture ⋮ THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR TYPE AND THE PRIME ⋮ Unnamed Item ⋮ Unitriangular basic sets, Brauer characters and coprime actions ⋮ The principal p‐blocks with four irreducible characters ⋮ A note on restriction of characters of alternating groups to Sylow subgroups ⋮ A first guide to the character theory of finite groups of Lie type ⋮ On the inductive blockwise Alperin weight condition for classical groups

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