On the number of cyclic subgroups of a finite group

Speaker: Martino Garonzi, UNB.

Date: 27 sep 2019, 11h.

Place: Room 409, Bloco H, Campus Gragoatá, UFF.

Abstract: Let G be a finite group and let c(G) be the number of cyclic subgroups of G. Let a(G)=c(G)/|G|. In this talk I will present recent results obtained with Igor Lima about the function a(G) concentrating on solvable and supersolvable groups. I will also present some properties of the set of numbers of the form a(G).