Thursday 10 October 2024 at 4 pm, as part of the Al@Bicocca seminar cycle, Josep Miquel Martínez Marín (University of Florence) will talk about
Title: Characters and normal Sylow subgroups
Abstract: Let G be a finite group, let p a prime dividing the order of G and let P by a Sylow p-subgroup of G. The ItÔ-Michler theorem states that p does not divide the degree of any irreducible character of G if and only if P is abelian and normal in G. It turns out that the abelian and normal parts of this statement can be separated and characterized in character theoretic terms. Recently, G. Malle, G. Navarro and P. H. Tiep have proposed a new way of determining the normality of P in G in terms of Brauer characters, different in nature from the previously known characterizations. In this talk, we report on the progress on this conjecture. This is joint work with Zhicheng Feng, Damiano Rossi and Mandi Schaeffer Fry.
Information to attend
The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milan-Bicocca and will also be available online at the following Webex link