M. Herzog

activity

20102023

most citedA new solvability criterion for finite groups

17 citations · 31 across the 9 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.GR2019

Sums of element orders in groups of odd order

Marcel Herzog, Patrizia Longobardi, Mercede Maj

Denote by $G$ a finite group and by $ψ (G)$ the sum of element orders in $G$ . If $t$ is a positive integer, denote by $C_{t}$ the cyclic group of order $t$ and write $ψ (t) = ψ (C_{t})$ . In…

math.GR2019

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

Marcel Herzog, Patrizia Longobardi, Mercede Maj

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-cycli…