A set S in a group G is said to be small if there exist infinitely many pairwise disjoint translates of S . In this note we prove in an elementary way that, under suitable assumptions, G cannot be the union of finitely many small sets (and a slight generalization of this result).
On small sets in a group
VITOLO, Antonio;
1988-01-01
Abstract
A set S in a group G is said to be small if there exist infinitely many pairwise disjoint translates of S . In this note we prove in an elementary way that, under suitable assumptions, G cannot be the union of finitely many small sets (and a slight generalization of this result).File in questo prodotto:
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