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Scientific article
English

Minimal sumsets in infinite abelian groups

Published inJournal of algebra, vol. 287, no. 2, p. 449-457
Publication date2005
Abstract

We give a closed formula for the minimal sumset size function μG(r, s) = min{|A +B|: A,B ⊂ G, |A| = r, |B| = s} of an arbitrary (possibly infinite) abelian group G.

Citation (ISO format)
ELIAHOU, Shalom, KERVAIRE, Michel. Minimal sumsets in infinite abelian groups. In: Journal of algebra, 2005, vol. 287, n° 2, p. 449–457. doi: 10.1016/j.jalgebra.2005.02.014
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ISSN of the journal0021-8693
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