Blocks with a generalized quaternion defect group and three simple modules over a 2-adic ring.

DOI10.1016/J.JALGEBRA.2016.03.010zbMath1345.20011arXiv1506.05159OpenAlexW2963224655MaRDI QIDQ286558

Florian Eisele

Publication date: 20 May 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05159

zbMATH Keywords

ordersderived equivalences\(p\)-adic integral representations of finite groupsblocks of \(p\)-adic group ringstame blocks

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Representations of quivers and partially ordered sets (16G20) Representations of finite groups of Lie type (20C33) Orders in separable algebras (16H10)

Related Items (3)

Bijections of silting complexes and derived Picard groups ⋮ DEGENERATING 0 IN TRIANGULATED CATEGORIES ⋮ Donovan's conjecture and extensions by the centralizer of a defect group

Cites Work

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• \(p\)-adic lifting problems and derived equivalences.
• Lifting theorems for tilting complexes
• Blocks of tame representation type and related algebras
• On 2-blocks with quaternion and quasihedral defect groups
• Tilted symmetric orders are symmetric orders
• Derived equivalent tame blocks
• Derived equivalences for group rings
• Degenerations for derived categories
• BLOCKS WITH A QUATERNION DEFECT GROUP OVER A 2-ADIC RING: THE CASEÃ₄
• Picard Groups for Derived Module Categories
• Derived Equivalences As Derived Functors

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