The independence of characters on non-abelian groups
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- by David Grow and Kathryn E. Hare PDF
- Proc. Amer. Math. Soc. 132 (2004), 3641-3651 Request permission
Abstract:
We show that there are characters of compact, connected, non-abelian groups that approximate random choices of signs. The work was motivated by Kronecker’s theorem on the independence of exponential functions and has applications to thin sets.References
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Additional Information
- David Grow
- Affiliation: Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, Missouri 65409
- Email: grow@umr.edu
- Kathryn E. Hare
- Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
- MR Author ID: 246969
- Email: kehare@uwaterloo.ca
- Received by editor(s): August 22, 2003
- Published electronically: May 20, 2004
- Additional Notes: This research was supported in part by NSERC and the Swedish Natural Sciences Research Council
- Communicated by: Andreas Seeger
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3641-3651
- MSC (2000): Primary 43A65; Secondary 43A46, 22E46
- DOI: https://doi.org/10.1090/S0002-9939-04-07506-9
- MathSciNet review: 2084087