On blocks with nilpotent coefficient extensions

DOI10.1023/A:1009964332013zbMath0914.20008OpenAlexW107103921MaRDI QIDQ1127784

Yun Fan, Lluis Puig

Publication date: 17 June 1999

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009964332013

zbMATH Keywords

source algebrascrossed productmodular group algebrasdefect groupblocks with nilpotent extensionsFrobenius nilpotency criterionnilpotent block

Mathematics Subject Classification ID

Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Twisted and skew group rings, crossed products (16S35)

Related Items

A note on the Glauberman-Watanabe corresponding blocks of finite groups with normal defect groups. ⋮ Group graded basic Morita equivalences ⋮ On blocks with trivial source simple modules. ⋮ On Brauer's second main theorem and characters in blocks with nilpotent coefficient extensions ⋮ On the Brauer-Glauberman correspondence. ⋮ On the reduction of Alperin's conjecture to the quasi-simple groups. ⋮ On the Glauberman correspondent of a block ⋮ Hyperfocal subalgebras of source algebras of blocks over small-ground fields. ⋮ On the characters of nilpotent blocks over small ground-fields ⋮ Derived invariance of Clifford classes ⋮ Extensions of nilpotent blocks over arbitrary fields. ⋮ Descent of equivalences for blocks with Klein four defect groups ⋮ Morita equivalences related to the Glauberman correspondence.

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