TRIVIAL TORSION UNITS IN G-ADAPTED GROUP RINGS

DOI10.1142/S0219498806002009zbMath1111.16032MaRDI QIDQ3421570

Yuan Lin Li, Allen Herman

Publication date: 7 February 2007

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

zbMATH Keywords

groups of unitshypercentersintegral group ringstorsion units

Mathematics Subject Classification ID

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

Cites Work

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• The normalizer of a group in the unit group of its group ring
• Hypercentral units in integral group rings
• The Hypercentre and the n-Centre of the Unit Group of an Integral Group Ring
• Trivial Units for Group Rings withG-adapted Coefficient Rings
• Trivial units for group rings over rings of algebraic integers

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