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
✦ LIBER ✦
Bass units as free factors in integral group rings of simple groups
✍ Scribed by Gonçalves, Jairo Z.; Guralnick, Robert M.; del Río, Ángel
- Book ID
- 122279883
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 385 KB
- Volume
- 404
- Category
- Article
- ISSN
- 0021-8693
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We classify all the finite groups G, such that the group of units of ZG contains a subgroup of finite index which is isomorphic to a direct product of nonabelian free Ž groups. This completes the work of Jespers, Leal, and del Rıo J. Algebra 180 Ž . . 1996 , 22᎐40 , where the nilpotent groups with
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