Free groups and subgroups of finite index in the unit group of an integral group ring
Knowledge Area
Economía AplicadaSponsors
Research partially supported by the Onderzoeksraad of Vrije Universiteit Brussel, Fonds voor Wetenschappelijk Onderzoek (Belgium) and Bilateral Scientific and Technological Cooperation BWS 05/07 (Flanders-POland). Postdoctoraal Onderzoeker van het Fonds voor Wetenschappelijk Onderzoek- Vlaanderen. Research partially supported by the Fundación Séneca of Murcia and D.G.I. of Spain.Publication date
2007-09Publisher
Taylor & FrancisBibliographic Citation
DOOMS, A., JESPERS, E., RUIZ, M. Free groups and subgroups of finite index in the unit group of an integral group ring. Communications in Algebra, 35 (9): 2879 - 2888, Septiembre 2007. ISSN 1532-4125Keywords
Subgrupo de indice libre y finitoAnillo de grupo integral
Unidad de grupo
Free and finite index subgroups
Integral group ring
Unit group
Abstract
In this article we construct free groups and subgroups of finite index
in the unit group of the integral group ring of a finite non-abelian
group G for which every non-linear irreducible complex representation
is of degree 2 and with commutator subgroup G0 a central elementary
abelian 2-group.
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