Zassenhaus Conjecture (ZC1) on torsion units of integral group rings for some metabelian groups |
| |
| Authors: | Ángel del Río Sudarshan K. Sehgal |
| |
| Affiliation: | (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 |
| |
| 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 |
| |
| Keywords: | . |
| 本文献已被 SpringerLink 等数据库收录！ |
|
