# Pure Maths Colloquium: Andrea Lucchini

This talk is part of the Pure Maths Colloquium at the University of St Andrews. Check out our upcoming talks at https://theran.lt/pure-colloquium/.

 Where: Zoom 815 0253 8788 When: Mar 18 2021 @ 16.00 Video: Link (internal)
 Speaker: Andrea Lucchini University of Padova Title: The non-F graph of a finite group (and the generating graph)

Recent results and open questions will be presented, related with some graphs encoding generating properties of finite and profinite groups. In particular, given a family $$\mathcal{F}$$ of groups, we will consider the graph whose vertices are the elements of a group $$G$$ and where two vertices $$x, y$$ in $$G$$ are adjacent if and only if the subgroup generated by them does not belong to $$\mathcal{F}$$.