Construction of units in group rings of monomial and symmetric groups

DOI10.1016/0021-8693(91)90322-YzbMath0737.16022OpenAlexW2079968258MaRDI QIDQ1178934

Juergen Ritter, Sudarshan K. Sehgal

Publication date: 26 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90322-y

zbMATH Keywords

symmetric groupssubgroups of finite indexgroup ringsmonomial groupsmetabelian groupsbicyclic unitscyclic units

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Subgroup theorems; subgroup growth (20E07) 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

Unnamed Item ⋮ Degree 1 and 2 representations of nilpotent groups and applications to units of group rings ⋮ Central units of integral group rings ⋮ Describing units of integral group rings up to commensurability. ⋮ From the Poincaré Theorem to generators of the unit group of integral group rings of finite groups ⋮ Free Normal Complements and the Unit Group of Integral Group Rings ⋮ Units of group rings ⋮ From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups ⋮ Presentations of groups acting discontinuously on direct products of hyperbolic spaces ⋮ Units in integral group rings over Solomon fields ⋮ Generators of large subgroups of the unit group of integral group rings

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• Endliche Gruppen I
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