Pseudofinite groups as fixed points in simple groups of finite Morley rank

Details Pseudofinite groups as fixed points in simple groups of finite Morley rank Pseudofinite groups as fixed points in simple groups of finite Morley rank

2012-01-30

arxiv.org/abs/1201.6317v1

Mathematics

Group Theory

18 pages

Scientific paper

We prove that if the group of fixed points of a generic automorphism of a
simple group of finite Morley rank is pseudofinite, then this group is an
extension of a (twisted) Chevalley group over a pseudofinite field. On the way
to obtain this result, we classify non-abelian definably simple pseudofinite
groups of finite centralizer dimension (using the ideas of John S. Wilson).

Affiliated with

Also associated with

No associations

Rating

Pseudofinite groups as fixed points in simple groups of finite Morley rank does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pseudofinite groups as fixed points in simple groups of finite Morley rank, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pseudofinite groups as fixed points in simple groups of finite Morley rank will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-360423