The inductive blockwise Alperin weight condition for certain 2-blocks with abelian defect groups

DOI10.1016/J.JALGEBRA.2021.02.035OpenAlexW3144186776MaRDI QIDQ2664501

Kun Zhang, Yuanyang Zhou

Publication date: 20 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.02.035

zbMATH Keywords

blockfinite groupinductive blockwise Alperin weight condition

Mathematics Subject Classification ID

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

Related Items (1)

Alperin weight conjecture and related developments

Cites Work

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• The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes
• Quasi-isolated blocks and Brauer's height zero conjecture.
• Nilpotent extensions of blocks.
• Perfect isometries for blocks with abelian defect groups and Klein four inertial quotients
• Pointed groups and construction of modules
• Characters and local structure in G-algebras
• On the local structure of Morita and Rickard equivalences between Brauer blocks
• The hyperfocal subalgebra of a block
• Blocks with the hyperfocal subgroup \(\mathbb{Z}_{2^n}\times\mathbb{Z}_{2^n}\)
• On blocks of normal subgroups of finite groups.
• 2-blocks with abelian defect groups.
• Morita Equivalent Blocks in Non-Normal Subgroups and p -Radical Blocks in Finite Groups
• Characters of Solvable Groups
• Splendid Equivalences: Derived Categories and Permutation Modules
• Clifford theory of characters in induced blocks

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