Central units in blocks and the odd \(Z_p^*\)-theorem.

DOI10.1016/J.JALGEBRA.2008.10.017zbMath1169.20007OpenAlexW1990028483MaRDI QIDQ1012562

Geoffrey R. Robinson

Publication date: 21 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.10.017

zbMATH Keywords

finite groupsblocks\(p\)-adic group ringsGlauberman \(Z^*\)-theoremunits of prime order

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (2)

Strong fusion control and stable equivalences. ⋮ Units of \(p\)-power order in principal \(p\)-blocks of \(p\)-constrained groups

Cites Work

• Unnamed Item
• Remarks on coherence and the Reynolds isometry
• The \(Z_ p^*\)-theorem and units in blocks
• Brauer Characters Relative to a Normal Subgroup
• Characters of Relatively Projective Modules II

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