MULTIPLICATIVE JORDAN DECOMPOSITION IN GROUP RINGS OF 3-GROUPS

DOI10.1142/S0219498809003461zbMath1185.20002MaRDI QIDQ3638687

Chia-Hsin Liu, Donald S.Passman

Publication date: 28 October 2009

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

integral group ringsfinite 3-groupsmultiplicative 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) Finite nilpotent groups, (p)-groups (20D15) Units, groups of units (associative rings and algebras) (16U60)

Related Items (9)

Group algebras. ⋮ Nilpotent decomposition in integral group rings ⋮ Group rings and Jordan decomposition ⋮ Multiplicative Jordan decomposition in group rings and \(p\)-groups with all noncyclic subgroups normal. ⋮ Multiplicative Jordan decomposition in group rings with a Wedderburn component of degree 3. ⋮ Multiplicative Jordan Decomposition in Group Rings of 3-Groups, II ⋮ MULTIPLICATIVE JORDAN DECOMPOSITION IN GROUP RINGS OF 2, 3-GROUPS ⋮ Groups with Certain Normality Conditions ⋮ The multiplicative Jordan decomposition in the integral group ring \(\mathbb{Z} [Q_8 \times C_p\)]

Cites Work

• Realisierung von Darstellungen endlicher nilpotenter Gruppen. (Realization of representations of finite-dimensional nilpotent groups)
• The multiplicative Jordan decomposition in group rings
• The multiplicative Jordan decomposition in group rings. II.

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