Unit groups of semisimple group algebras of Abelian \(p\)-groups over a field

DOI10.1006/JABR.1996.6826zbMath0876.16021OpenAlexW1969815193MaRDI QIDQ1355529

Todor Zh. Mollov, Nako A. Nachev

Publication date: 1 December 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6826

zbMATH Keywords

group algebrasAbelian \(p\)-groupsunit groupsdirect sums of cyclic groups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Torsion groups, primary groups and generalized primary groups (20K10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

Unit Groups of Commutative Group Rings

Cites Work

• On finite generation of unit groups of commutative group rings
• Units in Abelian Group Rings
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
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