Zassenhaus conjecture for cyclic-by-abelian groups

Leo Margolis, Angel Del Rio, Mauricio José Caicedo Borrero

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)

Abstract

Zassenhaus Conjecture for torsion units states that every augmentation 1 torsion unit of the integral group ring of a finite group G is conjugate to an element of G in the units of the rational group algebra ℚ G. This conjecture has been proved for nilpotent groups, metacyclic groups and some other families of groups. It has been also proved for some special groups. We prove the conjecture for cyclic-by-abelian groups.
Original languageEnglish
Pages (from-to)65–78
Number of pages14
JournalJournal of the London Mathematical Society
Volume88
Issue number1
DOIs
Publication statusPublished - 2013

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