Minimum sum and difference covers of abelian groups.

Haanpää, Harri

Displaying similar documents to “Minimum sum and difference covers of abelian groups.”

Constructing subsets of a given packing index in Abelian groups

Nadya Lyaskovska (2007)

Acta Universitatis Carolinae. Mathematica et Physica

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Factoring an odd abelian group by lacunary cyclic subsets

Sándor Szabó (2010)

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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.

Covering abelian groups with cyclic subsets.

Ali Akbar Dad-del (1996)

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Characterization of abelian-by-cyclic 3-rewritable groups

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On covers of abelian groups by cosets

Günter Lettl, Zhi-Wei Sun (2008)

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On $p$ -groups with abelian automorphism group

Marta Morigi (1994)

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Sum-dominant sets and restricted-sum-dominant sets in finite abelian groups

David B. Penman, Matthew D. Wells (2014)

Acta Arithmetica

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We call a subset A of an abelian group G sum-dominant when |A+A| > |A-A|. If |A⨣A| > |A-A|, where A⨣A comprises the sums of distinct elements of A, we say A is restricted-sum-dominant. In this paper we classify the finite abelian groups according to whether or not they contain sum-dominant sets (respectively restricted-sum-dominant sets). We also consider how much larger the sumset can be than the difference set in this context. Finally, generalising work of Zhao, we provide asymptotic...