Year: 2012
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Caicedo, Mauricio, Margolis, Leo, del Río, Ángel
Institutions: Universidad de Murcia, University of Stuttgart
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952682614