Construction of central units in integral group rings of finite groups

Jespers, Eric; Parmenter, M.

doi:10.1090/S0002-9939-2011-10968-7

Construction of central units in integral group rings of finite groups
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by Eric Jespers and M. M. Parmenter

Proc. Amer. Math. Soc. 140 (2012), 99-107

DOI: https://doi.org/10.1090/S0002-9939-2011-10968-7

Published electronically: May 17, 2011

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Abstract:

In this paper we give new constructions of central units that generate a subgroup of finite index in the central units of the integral group ring $\mathbb {Z} G$ of a finite group. This is done for a very large class of finite groups $G$, including the abelian-by-supersolvable groups.

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