Simple components and central units in group algebras.

DOI10.1016/j.jalgebra.2004.05.005zbMath1080.16025OpenAlexW2056684118MaRDI QIDQ1887585

Raul Antonio Ferraz

Publication date: 22 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.05.005

zbMATH Keywords

group ringsgroups of unitscentral unitsnumbers of simple components

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Units, groups of units (associative rings and algebras) (16U60)

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Cites Work

• An introduction to group rings
• Trivial Units in <i>RG</i>
• Integral Group Rings with Trivial Central Units
• HIGMAN’S CENTRAL UNIT THEORY, UNITS OF INTEGRAL GROUP RINGS OF FINITE CYCLIC GROUPS AND FIBONACCI NUMBERS
• Central Idempotents and Units in Rational Group Algebras of Alternating Groups
• Die algebraische Struktur des Gruppenringes einer endlichen Gruppe über einem Zahlkörper.
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