- International Electronic Journal of Algebra
- Volume:14 Issue:14
- DIRECT PRODUCT OF GENERALIZED SIMULATED AND DISTORTED CYCLIC SUBSETS
DIRECT PRODUCT OF GENERALIZED SIMULATED AND DISTORTED CYCLIC SUBSETS
Authors : Sándor SZABÓ
Pages : 19-31
View : 28 | Download : 13
Publication Date : 2013-12-01
Article Type : Research Paper
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
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