Remarks on a conjecture of Chabauty
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- by Hatem Hamrouni PDF
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Abstract:
The Chabauty conjecture for connected nilpotent Lie groups has been proved by S. P. Wang. We show that one reasoning flaw has infiltrated the proof. We therefore give a new proof of the validity of Chabauty’s conjecture in this setup. More generally, we shall prove that the Chabauty conjecture is true for rigid lattices and Zariski dense lattices of connected solvable Lie groups. In particular, the Chabauty conjecture holds for solvable Lie groups of $(R)$-type.References
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Additional Information
- Hatem Hamrouni
- Affiliation: Department of Mathematics, Faculty of Sciences at Sfax, University of Sfax, Route Soukra, B.P. 1171, 3000 Sfax, Tunisia
- Email: hatemhhamrouni@voila.fr
- Received by editor(s): May 27, 2010
- Received by editor(s) in revised form: June 3, 2010
- Published electronically: November 10, 2010
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 1983-1987
- MSC (2010): Primary 20E36, 20F16
- DOI: https://doi.org/10.1090/S0002-9939-2010-10717-7
- MathSciNet review: 2775374