Factoring a finite Abelian group by prime complexes.
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Corrádi, Keresztély, Szabó, Sándor (2005)
Mathematica Pannonica
Szabó, Sándor, Amin, Khalid (1996)
Mathematica Pannonica
Sándor Szabó (2010)
Discussiones Mathematicae - General Algebra and Applications
It is a known result that if a finite abelian group of odd order is a direct product of lacunary cyclic subsets, then at least one of the factors must be a subgroup. The paper gives an elementary proof that does not rely on characters.
Corrádi, Keresztély, Szabó, Sándor (1994)
Beiträge zur Algebra und Geometrie
Corrádi, Keresztély, Szabó, Sándor (2009)
Integers
Kolountzakis, Mihail N. (2004)
The Electronic Journal of Combinatorics [electronic only]
Jörg M. Wills, Ulrich Betke, Martin Henk (1994)
Journal für die reine und angewandte Mathematik
K. Bezdek, A. Bezdek, R. Connelly (1995)
Discrete & computational geometry
Fejes G. Tóth (1987)
Discrete & computational geometry
J.M. Wills, Fejes G. Tóth, P. Gritzmann (1989)
Discrete & computational geometry
Böröczky, K.jun., Wills, J.M. (1997)
Beiträge zur Algebra und Geometrie
Stachel, Hellmuth (2000)
Journal for Geometry and Graphics
Fejes L. Tóth (1993)
Discrete & computational geometry
Feichtner, E.M., Yuzvinsky, S. (2005)
Zapiski Nauchnykh Seminarov POMI
François Sigrist (1990)
Journal de théorie des nombres de Bordeaux
Milica Stojanović (2011)
Kragujevac Journal of Mathematics
Fernando Mário de Oliveira Filho, Frank Vallentin (2010)
Journal of the European Mathematical Society
We derive new upper bounds for the densities of measurable sets in which avoid a finite set of prescribed distances. The new bounds come from the solution of a linear programming problem. We apply this method to obtain new upper bounds for measurable sets which avoid the unit distance in dimensions . This gives new lower bounds for the measurable chromatic number in dimensions . We apply it to get a short proof of a variant of a recent result of Bukh which in turn generalizes theorems of Furstenberg,...
Götz Gelbrich (1997)
Aequationes mathematicae
C. Bandt, P. Gummelt (1997)
Aequationes mathematicae
K.A. Brandt, H. Terao (1994)
Discrete & computational geometry
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