Integral group rings with Jordan decomposition

DOI10.1007/BF01200034zbMath0696.16004OpenAlexW2069591772MaRDI QIDQ910469

Alfred W. Hales, Inder Bir Singh Passi

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200034

zbMATH Keywords

commuting elementsintegral group ringsJordan decompositions

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (9)

MULTIPLICATIVE JORDAN DECOMPOSITION IN INTEGRAL GROUP RINGS OF GROUPS OF ORDER 16 ⋮ Group algebras. ⋮ Jordan decomposition and hypercentral units in integral group rings ⋮ Group rings and Jordan decomposition ⋮ The multiplicative Jordan decomposition in group rings. II. ⋮ The multiplicative Jordan decomposition in the integral group ring \(\mathbb{Z} [Q_8 \times C_p\)] ⋮ The multiplicative Jordan decomposition in group rings ⋮ Jordan decompositions in alternative loop rings ⋮ Integral Jordan decomposition of matrices

Cites Work

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• Partial augmentations and jordan decomposition in group ring
• Degree problems of representation theory over arbitrary fields of characteristic 0. On theorems of N. Ito and J. G: Thompson.
• Some Properties of Characters of Finite Groups
• Construction of units in integral group rings of finite nilpotent groups

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