In this paper, we discuss two cases where all C-automorphisms are inner; therefore, the normalizer property holds for those cases. Our results generalize a result of Marciniak and Roggenkamp. As an application of our theorems, we prove that the normalizer property holds for the integral group ring o
The normalizer property for integral group rings of Frobenius groups
✍ Scribed by Thierry Petit Lobão; César Polcino Milies
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 70 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0021-8693
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📜 SIMILAR VOLUMES
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
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