Unit Groups of Commutative Group Rings

DOI10.1080/00927870600862672zbMath1115.16014OpenAlexW2109646562MaRDI QIDQ3422822

Nako A. Nachev, Todor Zh. Mollov

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/00927870600862672

zbMATH Keywords

nilpotent elementsgroups of unitscyclotomic polynomialsmixed Abelian groupscommutative group ringsdirect products of indecomposable rings

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Special polynomials in general fields (12E10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

On clean, weakly clean and feebly clean commutative group rings ⋮ THE NUMBER OF IDEMPOTENTS IN COMMUTATIVE GROUP RINGS ⋮ Groups of Units of Finite Commutative Group Rings* ⋮ On the Unit Groups of Commutative Modular Group Algebras ofKT-Groups ⋮ Unnamed Item ⋮ WARFIELD INVARIANTS IN COMMUTATIVE GROUP RINGS

Cites Work

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• Unit groups of semisimple group algebras of Abelian \(p\)-groups over a field
• Units in Abelian Group Rings
• Invariants of tile sylowp-subgroup of the unit group of a commutative group ring of characteristicp^∗
• Nilpotent Elements and Idempotents in Commutative Group Rings^#

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