Abstract

This paper is intended to give a survey of recent work on central units in integral group rings. For units in general, the definitive reference is the book by Sehgal (1993) while a survey paper by Jespers contains additional very recent results. Both of these sources contain results on central units (in fact, Jespers devotes a chapter to the topic), but our work complements theirs in two ways. Firstly, we describe some results contained in papers which were not available to the other authors. Secondly, we choose to emphasize some topics which are mentioned either very briefly or not at all in their work. Nevertheless, we acknowledge that there is considerable overlap, especially between our survey and that of Jespers, and would like to thank him for supplying us with a preprint.

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