MULTIPLICATIVE JORDAN DECOMPOSITION IN INTEGRAL GROUP RINGS OF GROUPS OF ORDER 16

DOI10.1081/AGB-120014667zbMath1018.20005MaRDI QIDQ4799321

Michael M. Parmenter

Publication date: 10 June 2003

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

zbMATH Keywords

nilpotent elementsintegral group ringsunipotent elementssemisimple elementsmultiplicative Jordan decompositions

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (5)

Group algebras. ⋮ Group rings and Jordan decomposition ⋮ Multiplicative Jordan decomposition in group rings and \(p\)-groups with all noncyclic subgroups normal. ⋮ The multiplicative Jordan decomposition in group rings. II. ⋮ The multiplicative Jordan decomposition in the integral group ring \(\mathbb{Z} [Q_8 \times C_p\)]

Cites Work

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• Integral group rings with Jordan decomposition
• The multiplicative Jordan decomposition in group rings
• Partial augmentations and jordan decomposition in group ring
• Jordan decomposition and hypercentral units in integral group rings
• Units of group rings of groups of order 16

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