Logarithms and units in p-adic Abelian group rings

DOI10.1007/BF01200224zbMath0649.16011OpenAlexW1997051593MaRDI QIDQ1105666

Klaus Hoechsmann, Juergen Ritter

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01200224

zbMATH Keywords

group of unitslogarithmcyclic subgroupsgroup ringabelian p-groupp-adic topology

Mathematics Subject Classification ID

Group rings (16S34) (p)-adic representations of finite groups (20C11) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

Unnamed Item ⋮ Norms and traces in p-adic Abelian group rings ⋮ Local units and circular index in abelian \(p\)-group rings ⋮ The Artin-Hasse power series and p-adic group rings ⋮ Integral group rings: Groups of units and classical K-theory

Cites Work

• Units in regular elementary Abelian group rings
• Units of integral group rings of metabelian groups

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