Departamento de Matemáticas UAM

  • Inicio
  • Presentación
  • Directorio
  • Organigrama
  • Intranet
  • Agenda
  • Convocatoria de plazas
Previous month Previous day
By Year
By Month
By Week
By Day
Search
Jump to month
Next day Next month
By Year By Month By Week Today Search Jump to month
Seminario Teoría de Grupos UAM-ICMAT

Seminario Teoría de Grupos UAM-ICMAT 

Fecha: Jueves 11 de Abril, 2019
Hora: 11:30
Lugar: Aula 520 UAM


Speaker: Joan Tent (Universidad de Valencia)

Title: Finite groups with character values in $mathbb Q_p$

Abstract: A classical problem in character theory of finite groups consists in showing how rationality properties
of characters and conjugacy classes of finite groups are reflected in  the structure of a group.
A well-known theorem by R. Gow in this setting establishes that if $G$ is a finite rational solvable group and $ell$ is a prime divisor of the order of $G$,
then $ellin{2, 3, 5}$, thus determining the possible composition factors of $G$.
Our aim in this talk is to present an odd analogue of Gow's theorem: if all characters of a solvable group $G$ take values
in the field  $mathbb Q_p=mathbb Q(xi)$, where $xiinmathbb C^times$ has prime order $o(xi)=p>2$, then
the prime divisors of the order of $G$ lie in the set ${2,3,5, p, 2p+1}$.
We shall also discuss possible generalizations to non-solvable finite groups.

Location  Fecha: Jueves 11 de Abril, 2019 Hora: 11:30 Lugar: Aula 520 UAM
CSS Valid | XHTML Valid | Top | + | - | reset
Copyright © Eximium 2023 All rights reserved. Custom Design by Youjoomla.com
Inicio