The \(Z_ p^*\)-theorem and units in blocks

DOI10.1016/0021-8693(90)90058-VzbMath0706.20012OpenAlexW2079436418MaRDI QIDQ919092

Geoffrey R. Robinson

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90058-v

zbMATH Keywords

finite groupsdefect groupsSylow subgroupsnormalized unitsaugmented algebrasprincipal block\(Z^ *_ p\)-theoremaugmentation 1isomorphism problem for group ringsprincipal block idempotents

Mathematics Subject Classification ID

Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite simple groups and their classification (20D05) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Toward the -theorem ⋮ Units of \(p\)-power order in principal \(p\)-blocks of \(p\)-constrained groups ⋮ Central units in blocks and the odd \(Z_p^*\)-theorem.

Cites Work

• Remarks on coherence and the Reynolds isometry
• Central elements in core-free groups
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