Approximate multiplicative groups in nilpotent Lie groups
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- by David Fisher, Nets Hawk Katz and Irine Peng PDF
- Proc. Amer. Math. Soc. 138 (2010), 1575-1580 Request permission
Abstract:
We generalize a result of Tao which describes approximate multiplicative groups in the Heisenberg group. We extend it to simply connected nilpotent Lie groups of arbitrary step.References
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Additional Information
- David Fisher
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- MR Author ID: 684089
- Email: fisherdm@indiana.edu
- Nets Hawk Katz
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- MR Author ID: 610432
- Email: nhkatz@indiana.edu
- Irine Peng
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- Email: kanamejun@gmail.com
- Received by editor(s): January 29, 2009
- Received by editor(s) in revised form: June 7, 2009
- Published electronically: January 19, 2010
- Communicated by: Michael T. Lacey
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 1575-1580
- MSC (2010): Primary 20-XX; Secondary 05-XX
- DOI: https://doi.org/10.1090/S0002-9939-10-10078-1
- MathSciNet review: 2587441