On Picard groups of blocks of finite groups

DOI10.1016/j.jalgebra.2019.02.045zbMath1453.20015arXiv1805.08902OpenAlexW2964255816MaRDI QIDQ2182337

Markus Linckelmann, Radha Kessar, Robert Boltje

Publication date: 23 May 2020

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

Full work available at URL: https://arxiv.org/abs/1805.08902

zbMATH Keywords

Picard groupDade groupblocks of finite group algebras

Mathematics Subject Classification ID

(p)-adic representations of finite groups (20C11) Modular representations and characters (20C20)

Related Items (14)

Morita equivalence classes of tame blocks of finite groups ⋮ Morita equivalence classes of blocks with elementary abelian defect groups of order 32 ⋮ On Picent for blocks with normal defect group ⋮ Some examples of Picard groups of blocks ⋮ On the lifting of the Dade group ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ The group of splendid Morita equivalences of principal 2-blocks with dihedral and generalised quaternion defect groups ⋮ Linear source invertible bimodules and Green correspondence ⋮ On Picard groups of blocks with normal defect groups ⋮ Donovan's conjecture and extensions by the centralizer of a defect group ⋮ The Picard group of an order and Külshammer reduction ⋮ The strong Frobenius numbers for cyclic defect blocks are equal to one ⋮ On the geometry of lattices and finiteness of Picard groups ⋮ Picard groups for blocks with normal defect groups and linear source bimodules

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