Torsion units of integral group rings of metacyclic groups

DOI10.1016/0022-314X(83)90024-0zbMath0527.16005OpenAlexW2009858951MaRDI QIDQ595745

Indar S. Luthar, Ashwani K. Bhandari

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-314x(83)90024-0

zbMATH Keywords

cyclotomic fieldunit groupsZassenhaus conjectureunits of finite order

Mathematics Subject Classification ID

Group rings (16S34) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Units, groups of units (associative rings and algebras) (16U60)

Related Items (12)

Unnamed Item ⋮ On the Torsion Units of Some Integral Group Rings ⋮ On the torsion units op integral dihedral group rings ⋮ Certain conjugacy classes of units in integral group rings of metacyclic groups ⋮ A characterization of units in zs₄ ⋮ Zassenhaus conjecture for \(A_6\). ⋮ A counterexample to the first Zassenhaus conjecture ⋮ On the generators of subgroups of unit groups of group rings ⋮ From examples to methods: Two cases from the study of units in integral group rings ⋮ On a conjecture of Zassenhaus on torsion units in integral group rings ⋮ Torsion units in integral group rings of metacyclic groups ⋮ Integral group rings: Groups of units and classical K-theory

Cites Work

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• The Group of Units of the Integral Group Ring ZS₃
• Class groups for integral representations of metacyclic groups

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