Descent of equivalences for blocks with Klein four defect groups

DOI10.1016/J.JALGEBRA.2022.09.026OpenAlexW4306655173MaRDI QIDQ2097275

Xin Huang

Publication date: 11 November 2022

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

Full work available at URL: https://arxiv.org/abs/2106.03809

zbMATH Keywords

blocks of group algebrasKlein four defect groupssplendid rickard equivalences

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

Related Items (1)

The strengthened Broué abelian defect group conjecture for \(\mathrm{SL} (2,p^n)\) and \(\mathrm{GL} (2,p^n)\)

Cites Work

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• The structure of blocks with a Klein four defect group.
• On blocks with nilpotent coefficient extensions
• Pointed groups and construction of characters
• The McKay conjecture and Galois automorphisms.
• Trivial source bimodule rings for blocks and $p$-permutation equivalences
• On Scott Modules and p-Permutation Modules: An Approach through the Brauer Morphism
• The Block Theory of Finite Group Algebras
• Splendid Equivalences: Derived Categories and Permutation Modules
• Galois descent of equivalences between blocks of 𝑝-nilpotent groups

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