Generic units in abelian group rings

DOI10.1515/jgth.2005.8.6.777zbMath1087.16018OpenAlexW1970719296MaRDI QIDQ5718048

Zbigniew S. Marciniak, Sudarshan K. Sehgal

Publication date: 13 January 2006

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

Full work available at URL: https://doi.org/10.1515/jgth.2005.8.6.777

zbMATH Keywords

finite index subgroupsunits in integral group ringsgeneric unitsvalues of integral polynomialsshifted cyclotomic polynomials

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Special polynomials in general fields (12E10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

Polynomials defining many units ⋮ Equivalence of Lattice Orbit Polytopes ⋮ Partial augmentations power property: a Zassenhaus conjecture related problem ⋮ Trinomial coefficients, Fibonacci numbers and units of the group \(\mathcal{U}(\mathbb{Z} C_p)\) ⋮ Writing units of integral group rings of finite abelian groups as a product of Bass units

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