Marcel Herzog

activity

20102016

most citedA new solvability criterion for finite groups

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

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 $G$ by $ψ (G)$ and let $C_{n}$ denote the cyclic group of order $n$ . Suppose that $G$ is a non-cyclic finite group of order $n$ and…

math.NT2013★ 1 cited

Inverse problems in Additive Number Theory and in Non-Abelian Group Theory

G. A. Freiman, M. Herzog, P. Longobardi +2

The aim of this paper is threefold: a) Finding new direct and inverse results in the additive number theory concerning Minkowski sums of dilates. b) Finding a connection between th…

math.GR2010★ 1 cited

A new solvability criterion for finite groups

Silvio Dolfi, Marcel Herzog, Cheryl E. Praeger

In 1968, John Thompson proved that a finite group $G$ is solvable if and only if every $2$ -generator subgroup of $G$ is solvable. In this paper, we prove that solvability of a fini…