Certain conjugacy classes of units in integral group rings of metacyclic groups

DOI10.1016/0022-314X(84)90056-8zbMath0527.16006MaRDI QIDQ595746

Indar S. Luthar, Ashwani K. Bhandari

Publication date: 1984

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

number of conjugacy classesgroup of units of augmentation onesplit metacyclic grouptorsion units of integral group ring

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)

Related Items (2)

Zassenhaus conjecture for \(A_6\). ⋮ Integral group rings: Groups of units and classical K-theory

Cites Work

• Torsion units of integral group rings of metacyclic groups
• A characterization of units in \(\mathbb{Z} [A_4\)]
• The Group of Units of the Integral Group Ring ZS₃
• The group of units of the integral group ring ℤD 4 *

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