Minimal sumsets in infinite abelian groups

Eliahou, Shalom; Kervaire, Michel

doi:10.1016/j.jalgebra.2005.02.014

Scientific article

English

Minimal sumsets in infinite abelian groups

ContributorsEliahou, Shalom; Kervaire, Michel

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.

Affiliation entities

Faculté des sciences / Section de mathématiques

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

Article (Published version)

Identifiers

PID : unige:12200
DOI : 10.1016/j.jalgebra.2005.02.014

Additional URL for this publicationhttp://linkinghub.elsevier.com/retrieve/pii/S0021869305001353

Journal ISSN0021-8693

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Minimal sumsets in infinite abelian groups

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.

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