Zassenhaus conjecture for cyclic-by-abelian groups

Mathematics – Representation Theory

Scientific paper

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16 pages

Scientific paper

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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