Manchester Algebra Seminar - Stacey Law
| Dates: | 13 April 2021 |
|---|
| Times: | 13:00 - 14:00 |
|---|
| What is it: | Seminar |
|---|
| Organiser: | Department of Mathematics |
|---|
| Who is it for: | University staff, Current University students |
|---|
|
Speaker: Stacey Law
title: Sylow branching coefficients and a conjecture of Malle and Navarro
abstract: The relationship between the representation theory of a finite group and that of its Sylow subgroups is a key area of interest. For example, recent results of Malle–Navarro and Navarro–Tiep–Vallejo have shown that important structural properties of a finite group G are controlled by the permutation character 1P | G , where P is a Sylow subgroup of G and 1P denotes the trivial character of P. We introduce so-called Sylow branching coefficients for symmetric groups to describe multiplicities associated with these induced characters, and as an application confirm a prediction of Malle and Navarro from 2012, in joint work with E. Giannelli, J. Long and C. Vallejo.
Time: 1pm
Place: Zoom
Travel and Contact Information
Find event
Zoom - online
Alan Turing Building
Manchester
