This thesis is about graphs associated with finite groups. After a review of some of them, we find the best bound for the diameter of the non-nilpotent graph. In the main part of the work, we build a general framework which generalizes many of the graphs described previously: we introduce the non-$\mathfrak F$ graph of a finite group and we prove some results about it.
Graphs encoding properties of finite groups
Nemmi, Daniele
2020/2021
Abstract
This thesis is about graphs associated with finite groups. After a review of some of them, we find the best bound for the diameter of the non-nilpotent graph. In the main part of the work, we build a general framework which generalizes many of the graphs described previously: we introduce the non-$\mathfrak F$ graph of a finite group and we prove some results about it.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.12608/21914