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Torsion Units in Integral Group Rings

Published online by Cambridge University Press:  20 November 2018

Stanley Orlando Juriaans
Stanley Orlando Juriaans*
Affiliation:
Instituto de Matemática e Estatística Universidade de São Paulo, Caixa Postal 20570, 01452-990-São Paulo, Brasil, e-mail:ostanley@ime.usp.br
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Abstract

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Special cases of Bovdi's conjecture are proved. In particular the conjecture is proved for supersolvable and Frobenius groups. We also prove that if is finite, α ∊ VℤG a torsion unit and m the smallest positive integer such that αm ∊ G then m divides .

Keywords

20C0520C0716S3416U60group ringstorsion unitsgeneralized trace
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 3 , 01 September 1995 , pp. 317 - 324
Copyright
Copyright © Canadian Mathematical Society 1995

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