Mes anteior Día anterior Día siguiente Mes siguiente
Anual Mensual Semanal Hoy Buscar Ir al mes específico
SEMINARIO TEORÍA DE GRUPOS

SEMINARIO TEORÍA DE GRUPOS

DETECTING BLOCKS FROM THE CHARACTER TABLE

Ponente: Benjamin Sambale (Leibniz University Hannover)

Fecha: Jueves, 10 de febrero de 2022 - 11:30

Lugar: Aula Naranja, ICMAT

Resumen:

Many properties of a finite group (G) can be detected from its complex character table (X(G) ). We are particularly interested in local properties, i.e. data related to a Sylow (p)-subgroup (P) of (G). It has been shown that (X(G) ) determines whether (P) is abelian and in that case the isomorphism type of (P) is determined as well. In this work we replace (P) by a defect group of a block of (G) and show (among other things) that the exponent of the center $exp(Z(D))$ is determined by (X(G) ).

Localización Fecha: Jueves, 10 de febrero de 2022 - 11:30 Lugar: Aula Naranja, ICMAT