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Seminario: “Inequalities detecting structural properties of finite groups”

Giovedì 19 Gennaio 2017, ore 14:30 - Aula 2BC30 - Martino Garonzi

ARGOMENTI: Seminari

Giovedì 19 Gennaio 2017 alle ore 14:30 in Aula 2BC30, Martino Garonzi (Università di Brasilia) terrà un seminario dal titolo “Inequalities detecting structural properties of finite groups”.

Abstract
We discuss several results detecting cyclicity or nilpotency of a finite group G in terms of inequalities involving the orders of the elements of G and the orders of the elements of the cyclic group of order |G|. We prove that, among the groups of the same order, the number of cyclic subgroups is minimal for the cyclic group, and the product of the orders of the elements is maximal for the cyclic group.