Displaying similar documents to “Some values of Olson's constant.”

On the Olson and the Strong Davenport constants

Oscar Ordaz, Andreas Philipp, Irene Santos, Wolfgang A. Schmid (2011)

Journal de Théorie des Nombres de Bordeaux

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A subset S of a finite abelian group, written additively, is called zero-sumfree if the sum of the elements of each non-empty subset of S is non-zero. We investigate the maximal cardinality of zero-sumfree sets, i.e., the (small) Olson constant. We determine the maximal cardinality of such sets for several new types of groups; in particular, p -groups with large rank relative to the exponent, including all groups with exponent at most five. These results are derived as consequences of...

On zero free sets.

Ordaz, Oscar, Quiroz, Domingo (2006)

Divulgaciones Matemáticas

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