Some Results on Hypercentral Units in Integral Group Rings.

Autor: Li, Yuanlin, Parmenter, M. M.
Předmět:
Zdroj: Communications in Algebra; Jul2003, Vol. 31 Issue 7, p3207-3217, 11p
Abstrakt: In this note we investigate the hypercentral units in integral group rings ZG, where G is not necessarily torsion. One of the main results obtained is the following (Theorem 3.5): if the set of torsion elements of G is a subgroup T of G and if Z[SUB2](&scriptU;) is not contained in C[SUB&scriptU;](T), then T is either an Abelian group of exponent 4 or a Q* group. This extends our earlier result on torsion group rings. [ABSTRACT FROM AUTHOR]
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