A Sylowlike theorem for integral group rings of finite solvable groups

DOI10.1007/BF01194231zbMath0793.20005MaRDI QIDQ1325089

Klaus W. Roggenkamp, Wolfgang Kimmerle

Publication date: 24 May 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

finite solvable groupsunitaugmented algebrasSylow \(p\)-subgroup

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (7)

On the Torsion Units of Some Integral Group Rings ⋮ Sylow like theorems for $V(mathbb{Z}G)$ ⋮ A Sylow theorem for the integral group ring of \(\mathrm{PSL}(2,q)\) ⋮ 𝑝-subgroups of units in ℤ𝔾 ⋮ Integral group rings of frobenius groups and the conjectures of H.J. Zassenhaus ⋮ On the determination of Sylow numbers ⋮ On the Structure of Integral Group Rings of Sporadic Groups

Cites Work

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• Isomorphisms of p-adic group rings
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