Zassenhaus Conjecture (ZC1) on torsion units of integral group rings for some metabelian groups |
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| Authors: | Ángel del Río Sudarshan K Sehgal |
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| Institution: | (1) Dep. de Matemáticas, Universidad de Murcia, E-30100 Murcia, Spain;(2) Dep. of Math. and Stat. Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada |
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| Abstract: | We prove a conjecture of Zassenhaus that every normalized torsion unit of the integral group ring ZG of a finite group G is rationally conjugate to a group element for some metabelian groups including metacyclic groups G containing a normal cyclic group A such that G/A is cyclic of prime power order. The relative prime case was done in 11].
Received: 21 April 2005 |
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| Keywords: | , |
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