Minimal connected simple groups of finite Morley rank with strongly embedded subgroups

Details Minimal connected simple groups of finite Morley rank with strongly embedded subgroups Minimal connected simple groups of finite Morley rank with strongly embedded subgroups

2007-11-27

arxiv.org/abs/0711.4165v1

J. Algebra 314 (2007) 581--612

Mathematics

Group Theory

Scientific paper

We show that a minimal nonalgebraic simple groups of finite Morley rank has Prufer rank at most 2, and eliminates tameness from Cherlin and Jaligot's past work on minimal simple groups. The argument given here begins with the strongly embedded minimal simple configuration of Borovik, Burdges and Nesin. The 0-unipotence machinery of Burdges's thesis is used to analyze configurations involving nonabelian intersections of Borel subgroups. The number theoretic punchline of Cherlin and Jaligot has been replaced with a new genericity argument.

Affiliated with

Also associated with

No associations

Rating

Minimal connected simple groups of finite Morley rank with strongly embedded subgroups 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 Minimal connected simple groups of finite Morley rank with strongly embedded subgroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimal connected simple groups of finite Morley rank with strongly embedded subgroups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-685729