Unitary units in group rings of groups of order \(16\)

DOI10.1216/rmjm/1181072425zbMath0833.16034OpenAlexW2089542288MaRDI QIDQ1335193

Michael M. Parmenter

Publication date: 28 September 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072425

zbMATH Keywords

finite groupsgeneratorssubgroups of finite indexgroups of unitsintegral group ringsBass cyclic unitsbicyclic units

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Generators, relations, and presentations of groups (20F05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items

On the normalizers of the unitary subgroup in an integral group ring, SOME RESULTS ON BICYCLIC UNITS IN AN INTEGRAL GROUP RING, UNITARY UNITS IN INTEGRAL GROUP RINGS, Free torsion-free normal complements in integral group rings

Cites Work

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• Describing units of integral group rings of some 2-groups
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• Integral Group Rings with Trivial Central Units
• Units of group rings of groups of order 16
• Bicyclic and Bass Cyclic Units in Group Rings
• Unitary subgroup of integral group rings