The independence of characters on non-abelian groups

Grow, David; Hare, Kathryn

doi:10.1090/S0002-9939-04-07506-9

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.

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