Giovedì 10 Ottobre 2024 alle ore 16:00, nel quadro del ciclo di seminari Al@Bicocca, Josep Miquel Martínez Marín (Università degli Studi di Firenze) parlerà di
Titolo: 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.
Informazioni per partecipare
Il seminario si terrà in Aula 3014 (3° Piano) - Edificio U5, Università degli Studi di Milano-Bicocca e sarà disponibile anche online al seguente link Webex