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Unit Groups of Integral Group Rings: Old and New

✍ Scribed by Kimmerle, Wolfgang

Book ID: 121627261
Publisher: Springer-Verlag
Year: 2013
Tongue: English
Weight: 294 KB
Volume: 115
Category: Article
ISSN: 0012-0456
DOI: 10.1365/s13291-013-0067-1

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We classify the nilpotent finite groups G which are such that the unit group Ž . U U ZG of the integral group ring ZG has a subgroup of finite index which is the direct product of noncyclic free groups. It is also shown that nilpotent finite groups having this property can be characterised by means