Bicyclic and Bass Cyclic Units in Group Rings

DOI10.4153/CMB-1993-026-3zbMath0804.16037MaRDI QIDQ4294435

Guilherme Leal, Eric Jespers, Michael M. Parmenter

Publication date: 16 January 1995

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

group of unitsfinite groupintegral group ringBass cyclic unitsbicyclic units2-groupssubgroup of finite index2- Sylow subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Units, groups of units (associative rings and algebras) (16U60)

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Unitary units in group rings of groups of order \(16\), Unnamed Item, Degree 1 and 2 representations of nilpotent groups and applications to units of group rings, Units of group rings, UNITARY UNITS IN INTEGRAL GROUP RINGS, Generators of large subgroups of the unit group of integral group rings