DIRECT PRODUCT OF GENERALIZED SIMULATED AND DISTORTED CYCLIC SUBSETS

Year 2013, Volume: 14 Issue: 14, 19 - 31, 01.12.2013

Sándor Szabó

Abstract

The paper extends three results on vanishing sums of roots of unity originally developed for studying factorizations of finite abelian groups into subsets. Using these tools we will prove a Hajós type factorization theorem.

Keywords

factorization of finite abelian groups, normalized factorizations, periodic, simulated, cyclic, distorted cyclic, lacunary subset, Haj´os’ theorem, vanishing sums of root of unity