Group rings of finite strongly monomial groups: central units and primitive idempotents.

DOI10.1016/j.jalgebra.2013.04.020zbMath1294.16026arXiv1209.1269OpenAlexW2964295656MaRDI QIDQ2438891

Inneke Van Gelder, Gabriela Olteanu, Ángel Del Río, Eric Jespers

Publication date: 7 March 2014

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

Full work available at URL: https://arxiv.org/abs/1209.1269

zbMATH Keywords

generatorssubgroups of finite indexgroups of unitsintegral group ringsorthogonal primitive idempotentsfinite monomial groupsgroups of central units

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 (13)

On matrix units of semisimple group algebras ⋮ On idempotents and the number of simple components of semisimple group algebras ⋮ A generalization of strongly monomial groups ⋮ Central units of integral group rings of monomial groups ⋮ Integral group rings with all central units trivial ⋮ Group rings of finite strongly monomial groups: central units and primitive idempotents. ⋮ Primitive idempotents of Schur rings. ⋮ Central units in some integral group rings ⋮ Describing units of integral group rings up to commensurability. ⋮ Presentations of groups acting discontinuously on direct products of hyperbolic spaces ⋮ On the determination of Sylow numbers ⋮ On the index of a free abelian subgroup in the group of central units of an integral group ring. ⋮ Construction of minimal non-abelian left group codes

Uses Software

• GAP

Cites Work

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