<div dir="ltr"><span style="color:rgb(0,0,0)">Dear all,</span><div dir="auto"><span style="color:rgb(0,0,0)"><br></span></div><div dir="auto"><span style="color:rgb(0,0,0)">For the <i>next appointment</i> of the series of seminars "Insalate di Matematica", <b>Marco Fusari</b> (Unversitá degli Studi di Milano-Bicocca) will give a talk. </span></div><div dir="auto"><span style="color:rgb(0,0,0)">The speaker will deliver the talk <u>in presence</u> and the meeting will also be broadcasted <u>online</u> (see below for more information).</span></div><div dir="auto"><span style="color:rgb(0,0,0)"><br></span></div><div dir="auto"><span style="color:rgb(0,0,0)">Here the details:</span></div><div dir="auto"><span style="color:rgb(0,0,0)"><br></span></div><div dir="auto"><span style="color:rgb(0,0,0)"><u>Date and time</u>: <b>4th of December 2024, 4:30 pm (CET)</b></span></div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><font color="#000000"><u>Title</u>: <span style="background-color:rgb(255,229,153)">"Cliques in derangement graphs</span></font><font color="#000000"><span style="background-color:rgb(255,229,153)">"</span></font></div><div dir="auto"><font color="#000000"><span style="background-color:rgb(255,229,153)"><br></span></font></div><div dir="auto"><font color="#000000"><u>Abstract</u>:</font> Given a permutation group G, the derangement graph
ΓG of G is the Cayley graph with connection set the derangements of G. In a recent paper of 2021 Meagher, Razafimahatratra and Spiga conjectured that there exists a function f :N->N such that, if G is transitive of degree n and
ΓG has no k-clique, then n<=f(k). The conjecture has been proved for innately transitive groups, that are a generalization of primitive groups. Motivation for this work arises from investigations on Erdos-Ko-Rado type theorems for permutation groups.</div><div dir="auto"><br></div><div dir="auto"><font color="#000000"><u>Keywords:</u></font> Group theory, Permutation group, Combinatorics, Graph theory</div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><u><b>Information to attend in room 3014</b></u></div><div dir="auto">The seminar will take place in room 3014, at the building U5-Ratio, Università degli Studi di Milano Bicocca.</div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto"><u><b>Information to attend online<br></b></u></div><div dir="auto"><a href="https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad" target="_blank">https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad</a> (password: insalate, 46725283 from phones)<a href="https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad" target="_blank"></a></div><div dir="auto"><br></div><div dir="auto"><div dir="auto">You can find the poster of the event in the attachment. </div><div dir="auto">We are looking forward to seeing you! </div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto">For further information, please visit our website: <a href="https://sites.google.com/view/insalate-di-matematica" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://sites.google.com/view/insalate-di-matematica</a> or contact us at <a href="mailto:insalate.matematica@unimib.it" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">insalate.matematica@unimib.it</a>. Find us also on our Instagram page: <a href="https://www.instagram.com/insalate_di_matematica24/" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://www.instagram.com/insalate_di_matematica24/</a></div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><div dir="ltr"><div dir="auto"><div dir="auto"><div dir="auto"><div dir="auto"><div dir="auto"><font color="#000000">The organizers: Anna Donadini, Julian Feuerpfeil, Marco Fusari, Kirubell Haile, Paolo Malanchini, Ettore Marmo, Fabio Mastrogiacomo, Claudia Nocita, Eleonora Sforza and Tommaso Toti.</font></div></div></div></div></div></div></div></div></div></div></div></div>