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math.GR2019
Sums of element orders in groups of odd order
Marcel Herzog, Patrizia Longobardi, Mercede Maj
Denote by a finite group and by the sum of element orders in . If is a positive integer, denote by the cyclic group of order and write . In…
math.GR2019
The second maximal groups with respect to the sum of element orders
Marcel Herzog, Patrizia Longobardi, Mercede Maj
Denote by a finite group and let denote the sum of element orders in . In 2009, H.Amiri, S.M.Jafarian Amiri and I.M.Isaacs proved that if and is non-cycli…