17 citations · 31 across the 9 of their papers we have counts for
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math.GR2016
An exact upper bound for sums of element orders in non-cyclic finite groups
Marcel Herzog, Patrizia Longobardi, Mercede Maj
Denote the sum of element orders in a finite group by and let denote the cyclic group of order . Suppose that is a non-cyclic finite group of order and…
math.NT2016★ 2 cited
Small doubling in ordered nilpotent groups of class 2
Gregory A. Freiman, Marcel Herzog, Patrizia Longobardi +2
The aim of this paper is to present a complete description of the structure of finite subsets with small doubling property in ordered nilpotent groups of class 2.
math.GR2016
Finite groups with non-trivial intersections of kernels of all but one irreducible characters
Mariagrazia Bianchi, Marcel Herzog
In this paper we consider finite groups G satisfying the following condition: G has two columns in its character table which differ by exactly one entry. It turns out that such gro…