On sumsets of nonbases of maximum size

• Béla Bajnok ^[1] ; Péter Pál Pach ^[2]
  1. [1] Gettysburg College

     Gettysburg College

     Borough of Gettysburg, Estados Unidos

     
  2. [2] Budapest University of Technology and Economics

     Budapest University of Technology and Economics

     Hungría

     
• Localización: Discrete Mathematics Days 2022 / Luis Felipe Tabera Alonso (ed. lit.), 2022, ISBN 978-84-19024-02-2, págs. 37-41
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let G be a finite abelian group. A nonempty subset A in G is called a basis of order hif hA = G; when hA ̸= G, it is called a nonbasis of order h. Our interest is in all possiblesizes of hA when A is a nonbasis of order h in G of maximum size; we provide the completeanswer when h = 2 or h = 3.