skip to content

Groups of finite Morley rank and genericity

Presented by: 
E Jaligot [Lyon II]
Tuesday 12th July 2005 - 17:00 to 18:00
INI Seminar Room 1

The ultimate Algebricity Conjecture concerning groups of finite Morley rank postulates that simple groups of this class are algebraic. The weaker Genericity Conjecture postulates that they contain a generous Carter subgroup. These definable connected nilpotent subgroups of finite index in their normalizers exist in any group of finite Morley rank and they are a good approximation of maximal tori in the algebraic context. Such a subgroup is said to be generous if its conjugates form a generic subset of the ambiant group. I will explain a conjugacy theorem of generous Carter subgroups and show some striking consequences of the presence a generous Carter subgroup in a group of finite Morley rank.

Related Links

Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons