On the torsion units of ZD_n

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Abstract

J-GLOBAL : 200901036915996119

For a finite group G, we denote by ZG(resp. QG)the integral group ring(resp. rational group algebra)of G, and by U(ZG)(resp. U(QG))the unit group of ZG(resp. QG). In this paper, we will give torsion units in U(ZG)which are not conjugate to trivial units in U(ZG)but are conjugate to them in U(QG).

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