The second maximal groups with respect to the sum of element orders

2019/01/28 by Herzog, Marcel, Longobardi, Patrizia, Maj, Mercede · 1 citation
#20D60 #20E34 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1901.09662

Abstract

Denote by G a finite group and let ψ(G) denote the sum of element orders in G. In 2009, H.Amiri, S.M.Jafarian Amiri and I.M.Isaacs proved that if |G|=n and G is non-cyclic, then ψ(G)

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• On the Sum of Element Orders in Finite Abelian Groups

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