Second maximum sum of element orders on finite groups

• Autores: S. M. Jafarian Amiri, Mohsen Amiri
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 3, 2014, págs. 531-539
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Amiri, Jafarian Amiri and Isaacs proved that the cyclic group has maximum sum of element orders on all groups of the same order. In this article we characterize finite groups which have maximum sum of element orders among all noncyclic groups of the same order. This result confirms the conjecture posed in Jafarian Amiri (2013) [2].