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arXiv · 1202.3877

Zassenhaus conjecture for cyclic-by-abelian groups

Mauricio Caicedo·Leo Margolis·Ángel del Río
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Abstract

Zassenhaus Conjecture for torsion units states that every augmentation one torsion unit of the integral group ring of a finite group G is conjugate to an element of G in the units of rational group algebra QG. This conjecture has been proved for nilpotent groups, metacyclic groups and some other families of groups. We prove the conjecture for cyclic-by-abelian groups.

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BibTeXRIS

Mauricio Caicedo, Leo Margolis, Ángel del Río. 2012-02-17. Zassenhaus conjecture for cyclic-by-abelian groups. https://arxiv.org/abs/1202.3877

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