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Starters

Authored by: Jeffrey H. Dinitz

Handbook of Combinatorial Designs

Print publication date:  November  2006
Online publication date:  November  2006

Print ISBN: 9781584885061
eBook ISBN: 9781420010541
Adobe ISBN:

10.1201/9781420010541-89

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Abstract

55.1

A starter in the odd order abelian group G (written additively), where |G| = g is a set of unordered pairs S = {{sj , tj } : 1 ≤ i ≤ (g − l)/2} that satisfies:

{si : 1 ≤ i ≤ (g - l)/2} ⋃ {ti : 1 ≤ (g - l)/2} = G\{0}, and

{±(si ti ):l ≤ i ≤(g-l)/2} = G\{0}.

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