Conjectures of Alperin and Broué for 2-blocks with elementary abelian defect groups of order 8

DOI10.1515/CRELLE.2011.162zbMath1269.20007arXiv1012.3553OpenAlexW2964262939WikidataQ123194330 ScholiaQ123194330MaRDI QIDQ3168404

Markus Linckelmann, Shigeo Koshitani, Radha Kessar

Publication date: 31 October 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.3553

zbMATH Keywords

finite groupsdefect groupsblocksperfect isometriesBroué conjecturestable equivalencesAlperin weight conjectureBrauer height zero conjectureBrauer correspondence, isotypies

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (21)

Towards Donovan's conjecture for abelian defect groups ⋮ Alperin weight conjecture and related developments ⋮ Cartan matrices and Brauer's \(k(B)\)-conjecture V ⋮ Quasi-isolated blocks and Brauer's height zero conjecture. ⋮ Morita equivalence classes of blocks with elementary abelian defect groups of order 32 ⋮ Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\). ⋮ Character tables and defect groups ⋮ 2-blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle ⋮ Some cyclic virtually irreducible lattices. ⋮ 2-blocks with abelian defect groups. ⋮ Isotypies for the quasisimple groups with exceptional Schur multiplier ⋮ Cartan matrices and Brauer's \(k(B)\)-conjecture. II. ⋮ Blocks with defect group \(D_{2^n}\times C_{2^m}\). ⋮ On the Brauer-Feit bound for abelian defect groups. ⋮ Donovan’s conjecture and blocks with abelian defect groups ⋮ Cartan matrices and Brauer's \(k(B)\)-conjecture. ⋮ Morita equivalence classes of $2$-blocks of defect three ⋮ Finite-dimensional algebras arising as blocks of finite group algebras ⋮ Donovan's conjecture and extensions by the centralizer of a defect group ⋮ Classifying blocks with abelian defect groups of rank 3 for the prime 2 ⋮ The 2-blocks of defect 4

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