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Communications in Algebra Volume 22, 1994 - Issue 12

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Torsion units in integral group rings of solvable groups

Michael A. Dokuchaev Department of Mathematics, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada

Sudarshan K. Sehgal Department of Mathematics, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada

Pages 5005-5020 | Received 01 Sep 1993, Published online: 27 Jun 2007

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https://doi.org/10.1080/00927879408825118

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Abstract

A weaker version of the Zassenhaus conjecture for torsion units in integral group rings ZG is proved if G is either abelian-by-polycyclic or metabelian. As a consequence we obtain Bovdi's conjecture for torsion units in ZG for metabelian groups

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