Derangements in permutation groups
Seminar
Speaker
Daniele Garzoni (Tel Aviv University)
Date
22/03/2023 - 11:30 - 10:30Add to Calendar
2023-03-22 10:30:00
2023-03-22 11:30:00
Derangements in permutation groups
Given a group G acting on a set X, an element g of G is called a derangement if it acts without fixed points on X. The Boston--Shalev conjecture, proved by Fulman and Guralnick, asserts that in a finite simple group G acting transitively on X, the proportion of derangements is at least some absolute constant c > 0. We will first give an introduction to the subject, highlighting some connections with number theory. Then, we will see a version of this conjecture for the proportion of *conjugacy classes* containing derangements in finite groups of Lie type. Joint work with Sean Eberhard.
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https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
Third floor seminar room, Mathematics building, and on Zoom. See link below.
אוניברסיטת בר-אילן - המחלקה למתמטיקה
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Third floor seminar room, Mathematics building, and on Zoom. See link below.
Abstract
Given a group G acting on a set X, an element g of G is called a derangement if it acts without fixed points on X. The Boston--Shalev conjecture, proved by Fulman and Guralnick, asserts that in a finite simple group G acting transitively on X, the proportion of derangements is at least some absolute constant c > 0. We will first give an introduction to the subject, highlighting some connections with number theory. Then, we will see a version of this conjecture for the proportion of *conjugacy classes* containing derangements in finite groups of Lie type. Joint work with Sean Eberhard.
================================================
https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
תאריך עדכון אחרון : 22/03/2023
