Uniformly distributed sequences in locally compact groups. I

Leonora Benzinger
1974 Transactions of the American Mathematical Society  
We investigate the notion of uniformly distributed sequences in locally compact groups. Our main result is the following: A locally compact group G possesses a uniformly distributed sequence if and only if it possesses a sequence whose homomorphic images are dense in each of the compact quotients of G.
doi:10.1090/s0002-9947-1974-0333063-1 fatcat:7645q7fdofekbll3wifdqbmovu