Traces of Torsion Units

S. O. Juriaans Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, Brazil

A. De A. E Silva Departamento de Matemática, Universidade Federal da Paraíba, João Pessoa, Pb, Brazil

A. C. Souza Filho Escola de Artes, Ciências e Humanidades, Universidade de São Paulo, São Paulo, BrazilCorrespondence[email protected]

Abstract

A conjecture due to Zassenhaus asserts that if G is a finite group then any torsion unit in ℤG is conjugate in ℚG to an element of G. Here, a weaker form of this conjecture is proved for some infinite groups.

Key Words:

2010 Mathematics Subject Classification:

Primary: 20C05, 20C07, 16S34. Secondary: 16U60

Notes

Communicated by I. Shestakov.

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Traces of Torsion Units

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