The Erdős-Ginzburg-Ziv theorem in Abelian non-cyclic groups.

Ordaz, Oscar; Quiroz, Domingo

Displaying similar documents to “The Erdős-Ginzburg-Ziv theorem in Abelian non-cyclic groups.”

Isomorphisms of Direct Products of Finite Cyclic Groups

Kenichi Arai, Hiroyuki Okazaki, Yasunari Shidama (2012)

Formalized Mathematics

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In this article, we formalize that every finite cyclic group is isomorphic to a direct product of finite cyclic groups which orders are relative prime. This theorem is closely related to the Chinese Remainder theorem ([18]) and is a useful lemma to prove the basis theorem for finite abelian groups and the fundamental theorem of finite abelian groups. Moreover, we formalize some facts about the product of a finite sequence of abelian groups.

Some values of Olson's constant.

Subocz G., Julio C. (2000)

Divulgaciones Matemáticas

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On zero free sets.

Ordaz, Oscar, Quiroz, Domingo (2006)

Divulgaciones Matemáticas

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Factoring an odd abelian group by lacunary cyclic subsets

Sándor Szabó (2010)

Discussiones Mathematicae - General Algebra and Applications

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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.