Oberseminar Geometrie, Topologie und Gruppentheorie: Eric Jaligot (Université Grenoble) Cartan subgroups of groups definable in o-minimal structures
Thursday, 21.04.2011 10:00 im Raum SR 1d
Following Chevalley, a subgroup is called a Cartan subgroup if it is maximal nilpotent and each of its normal subgroups of finite index is almost seflnormalizing (in the ambient group). I will describe Cartan subgroups in groups definable in o-minimal structures, a model-theoretic context which incorporates semialgebraic groups over real closed fields, many real Lie groups, and algebraic groups over
algebraically closed fields of characteristic 0.We will notably see that there are finitely many conjugacy classes of Cartan subgroups, and that they cover the ambient group very largely.
Angelegt am 28.02.2011 von Gerlinde Steinhoff
Geändert am 14.03.2011 von Gerlinde Steinhoff
[Edit | Vorlage]