Some examples of Picard groups of blocks

DOI10.1016/j.jalgebra.2019.08.004OpenAlexW2967333586WikidataQ127375255 ScholiaQ127375255MaRDI QIDQ2182349

Michael Livesey, Charles W. Eaton

Publication date: 23 May 2020

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

Full work available at URL: https://arxiv.org/abs/1810.10950

zbMATH Keywords

Morita equivalencesblock theory of finite groupsPicard groups of algebras

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (8)

Morita equivalence classes of blocks with elementary abelian defect groups of order 32 ⋮ On Picent for blocks with normal defect group ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ Linear source invertible bimodules and Green correspondence ⋮ On Picard groups of blocks with normal defect groups ⋮ Arbitrarily large \(\mathcal{O}\)-Morita Frobenius numbers ⋮ On the geometry of lattices and finiteness of Picard groups ⋮ Picard groups for blocks with normal defect groups and linear source bimodules

Cites Work

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• Blocks with defect group \(\mathbb{Z}_{2^n} \times \mathbb{Z}_{2^n} \times \mathbb{Z}_{2^m}\)
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• Rigidity of \(p\)-adic \(p\)-torsion
• Pointed groups and construction of modules
• Quiver and relations for \(\text{SL}(2,2^ n)\) in characteristic \(2\)
• Classifying blocks with abelian defect groups of rank 3 for the prime 2
• Self-equivalences of stable module categories
• The Picard group of an order and Külshammer reduction
• On Picard groups of blocks of finite groups
• On Principal Blocks of p -Constrained Groups
• ON THE NUMBER OF IRREDUCIBLE CHARACTERS OF FINITE GROUPS IN A GIVEN BLOCK
• Principal 2-Blocks of the Simple Groups of Ree Type
• The Block Theory of Finite Group Algebras
• The Block Theory of Finite Group Algebras

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