Séminaires : Théorie des modèles et groupes

Equipe(s) : lm,
Responsables :Z. Chatzidakis, F. Oger, F. Point
Email des responsables : zoe.chatzidakis@imj-prg.fr
Salle : 1013
Adresse :Salle 1013

Pour recevoir le programme, écrivez à oger_at_math.univ-paris-diderot.fr
Le mardi à 16h00 en salle  1013 (Sophie Germain) - http://semgrp.imj-prg.fr pour plus de renseignements.

Orateur(s) Margarita Otero - UA Madrid,
Titre Density of the union of Cartan subgroups of o-minimal groups
Horaire16:00 à 17:30
RésumeLet G be a group. A subgroup H of G is a Cartan subgroup of
G if H is a maximal nilpotent subgroup of G, and for every normal finite
index subgroup X of H, X has finite index in its normalizer in G.

We consider Cartan subgroups of definably connect groups definable in
an o-minimal structure. In [BJ0] we proved that, in this context,
Cartan subgroups of G exist, they are definable and they fall in
finitely many conjugacy classes.

In this talk I will prove that the union of the Cartan subgroups is
dense in the group, which was the main question left open in [BBO].

(Joint work with Elías Baro and Alessandro Berarducci.)

[BJ0] E.Baro, E. Jaligot and M.Otero. Cartan subgroups of groups
definable in o-minimal structures, J. Inst. Math. Juissieu 13 no. 4
(2014) 849 - 893.

AdresseSalle 1013