Back to Search
Start Over
CENTRAL THEOREMS FOR COHOMOLOGIES OF CERTAIN SOLVABLE GROUPS.
- Source :
-
Transactions of the American Mathematical Society . Apr2017, Vol. 369 Issue 4, p2879-2896. 18p. - Publication Year :
- 2017
-
Abstract
- We show that the group cohomology of torsion-free virtually polycyclic groups and the continuous cohomology of simply connected solvable Lie groups can be computed by the rational cohomology of algebraic groups. Our results are generalizations of certain results on the cohomology of solvmanifolds and infra-solvmanifolds. Moreover as an application of our results, we give a new proof of the surprising cohomology vanishing theorem given by Dekimpe-Igodt. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 369
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 120657792
- Full Text :
- https://doi.org/10.1090/tran/6837