Hypercentral units in integral group rings

DOI10.1090/S0002-9939-01-05848-8zbMath0968.16015MaRDI QIDQ2718995

Yuan Lin Li, Michael M. Parmenter

Publication date: 14 May 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

torsion groupsgroups of unitsquaternion groupintegral group ringsBass cyclic unitsbicyclic unitsascending central seriesHoechsmann units\(Q^*\)-groupsHamilton 2-groups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Derived series, central series, and generalizations for groups (20F14) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Unnamed Item, Units in orders and integral semigroup rings., Hypercentral Unit Groups and the Hyperbolicity of a Modular Group Algebra, Some Results on Hypercentral Units in Integral Group Rings, On hypercentral units in integral group rings, The Upper Central Series of the Unit Group of an Integral Group Ring, Some results on FC-hypercentral units of integral group rings, TRIVIAL TORSION UNITS IN G-ADAPTED GROUP RINGS, On the normalizer problem for integral group rings of torsion groups

Cites Work

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• Finite groups in which the non-normal subgroups have nontrivial intersection
• Central height of the unit group of an integral group ring
• Jordan decomposition and hypercentral units in integral group rings
• The Hypercentre and the n-Centre of the Unit Group of an Integral Group Ring
• On the normalizer property for integral group rings
• Conjugates of units in integral group rings