(Received: 2006-11-06
)
(Received: 2006-11-06
)
E. Iwaki, Centro de Matematica, Computacao, e Cognicao, Universidade Federal do ABC, Rua Catequese 242-3 andar, Santo Andre, CEP 09090-400, Brazil; email: edson.iwaki@ufabc.edu.br
S.O. Juriaans, Instituto de Matematicae, Universidade de Sao Paulo, Caixa Postal 66281, Sao Paulo, CEP 05315-970 Brazil; email: ostanley@ime.usp.br
Abstract/Résumé:
We classify groups \(G\) such that the unit group \(\mathcal{U}_1 (\Z G)\) is hypercentral. In the second part, we classify groups \({G}\) whose modular group algebras \(KG\) have hyperbolic unit group \(\mathcal{U}_1 (KG)\).
Nous classifions les groupes \(G\) tels que le groupe unité \(\mathcal{U}_1 (\Z G)\) est hypercentral. Dans la deuxième partie, nous classifions les groupes \(G\) dont l’algèbre du groupe modulaire \(KG\) a un groupe unité \(\mathcal{U}_1 (KG)\) hyperbolique.
Keywords: hyperbolic, hypercentre, normalizer, unit
AMS Subject Classification:
Group rings; Laurent polynomial rings
16S34
PDF(click to download):
Hypercentral unit groups and the hyperbolicity of a modular group algebra