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On the cohomology of finite soluble groups
- Source :
- Archiv der Mathematik. 105:101-108
- Publication Year :
- 2015
- Publisher :
- Springer Science and Business Media LLC, 2015.
-
Abstract
- Cohomological vanishing theorems in dimensions 1 and 2 are established for finite soluble groups. Applications are given to splitting and conjugacy theorems, and also to the structure of automorphism groups of finite soluble groups with nilpotent length at most 3.
Details
- ISSN :
- 14208938 and 0003889X
- Volume :
- 105
- Database :
- OpenAIRE
- Journal :
- Archiv der Mathematik
- Accession number :
- edsair.doi...........3564b86d1713893ea94592f96aa19bb3
- Full Text :
- https://doi.org/10.1007/s00013-015-0790-1