# 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 \(\mathcal{F}\).