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The independence of characters on non-abelian groups
Authors:David Grow   Kathryn E. Hare
Affiliation:Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, Missouri 65409 ; Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
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.

Keywords:Characters   independence   compact non-abelian groups   compact Lie groups
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