On Brauer's second main theorem and characters in blocks with nilpotent coefficient extensions

DOI10.1016/S0021-8693(03)00348-XzbMath1029.20004OpenAlexW2081865290MaRDI QIDQ1403890

Yun Fan, Yuanyang Zhou

Publication date: 20 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00348-x

zbMATH Keywords

charactersblocks of finite groupsnilpotent blockspointed groupsarbitrary ground fieldscoefficient extensions

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Cites Work

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• Local methods in block theory
• Nilpotent blocks and their source algebras
• Pointed groups and construction of modules
• On blocks with nilpotent coefficient extensions
• A Frobenius theorem for blocks
• Pointed groups and construction of characters
• The source algebras of nilpotent blocks over arbitrary ground-fields
• On group stable commutative separable semisimple subalgebras.
• Decomposition of tensor spaces and block idempotents of group rings
• On the characters of nilpotent blocks over small ground-fields

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