1-(v,3,r) designs and the equation x+y+z=0 in finite abelian groups

Risultato della ricerca: Articlepeer review

Abstract

Let (G, +) be a finite abelian group with more than three elements and let B_3 be the family of all the unordered triples {x,y,z} of distinct elements of G such that x+y+z=0. We show that (G, B_3) is a 1-(v,3,r) design if and only if G is either an elementary abelian 3-group or the direct sum of Z/2Z with an elementary abelian 3-group. We also characterize the groups containing at least an element that does not belong to any triple in B_3
Lingua originaleEnglish
pagine (da-a)171-175
Numero di pagine5
RivistaBOLLETTINO DI MATEMATICA PURA E APPLICATA
VolumeII
Stato di pubblicazionePublished - 2009

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