Zassenhaus conjecture for cyclic-by-abelian groups

2012/02/17 by Mauricio Caicedo, Caicedo, Mauricio, Leo Margolis +3 · 1 citation
Mathematics · Computer Science · #Finite Group Theory Research #Rings, Modules, and Algebras #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.1202.3877

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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