Constructible units in Abelian p-group rings

DOI10.1016/0022-4049(90)90088-YzbMath0718.16027OpenAlexW1993447914MaRDI QIDQ2639141

Klaus Hoechsmann, Juergen Ritter

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(90)90088-y

zbMATH Keywords

group of unitsclass numbersunit groupssymmetric unitsregular primeabelian p-groups ringsfinite abelian p- groupgroup of circular (or cyclotomic) unitsgroup of constructible unitsWedderburn component

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

Unnamed Item ⋮ Kummer's lemma for cyclic \(2\)-groups ⋮ Exotic units in group rings of rank \(p^ 2\) ⋮ Constructing units in commutative group rings ⋮ Local units and circular index in abelian \(p\)-group rings

Cites Work

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• Units and class-groups in integral elementary Abelian group rings
• Norms and traces in p-adic Abelian group rings
• Units in regular Abelian p-group rings
• On the projective class group of cyclic groups of prime power order
• The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
• Généralisation d'un Lemme de Kummer

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