Splendid Derived Equivalences for Blocks of Finite Groups

DOI10.1112/S0024610799007619zbMath0960.20007OpenAlexW2140674543MaRDI QIDQ4487476

Morton E. Harris

Publication date: 22 June 2000

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610799007619

zbMATH Keywords

finite groupsdefect groupsderived categoriesblocksblock idempotentssubpairssplendid tilting complexesisotypies\(p\)-local structuresBrauer functors\(p\)-modular representations

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Modular representations and characters (20C20)

Related Items (11)

Ordinary induction from a subgroup and finite group block theory. ⋮ Derived equivalences and equivariant Jordan decomposition ⋮ Jordan decomposition for weights and the blockwise Alperin weight conjecture ⋮ Group graded basic Morita equivalences ⋮ Morita equivalences and the inductive blockwise Alperin weight condition for type 𝖠 ⋮ On $p$-permutation equivalences: Between Rickard equivalences and isotypies ⋮ Equivariant splendid Rickard equivalences ⋮ Perfect generalized characters inducing the Alperin-McKay conjecture. ⋮ Broué's Abelian defect group conjecture holds for the Janko simple group \(J_4\). ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\). ⋮ Broué's conjecture for non-principal 3-blocks of finite groups

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