Multiplicative Jordan decomposition in group rings with a Wedderburn component of degree 3.

DOI10.1016/j.jalgebra.2013.04.015zbMath1293.16023OpenAlexW1967621845MaRDI QIDQ2438913

Chia-Hsin Liu, Donald S.Passman

Publication date: 7 March 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.04.015

zbMATH Keywords

integral group ringscentral unitsfinite 3-groupsWedderburn componentsmultiplicative Jordan decompositionscommuting unipotent unitssemisimple units

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 (4)

Nilpotent decomposition in integral group rings ⋮ Group rings and Jordan decomposition ⋮ Multiplicative Jordan decomposition in group rings with a Wedderburn component of degree 3. ⋮ The multiplicative Jordan decomposition in the integral group ring \(\mathbb{Z} [Q_8 \times C_p\)]

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