Special rank one groups with abelian unipotent subgroups are perfect

Details Special rank one groups with abelian unipotent subgroups are perfect Special rank one groups with abelian unipotent subgroups are perfect

2011-08-31

arxiv.org/abs/1108.6189v1

Mathematics

Group Theory

3 pages

Scientific paper

T. De Medts, Y. Segev and K. Tent [Special Moufang sets, their root groups and their \mu-maps, Proc. Lond. Math. Soc. (3) 96 (2008), 767-791] proved that the little projective group of a special Moufang set M(U,\tau) is perfect provided that U has size at least 4. We give a short, elementary and self-contained argument when U is abelian, working with Timmesfeld's concept of special (abstract) rank one groups with abelian unipotent subgroups [Abstract root subgroups and simple groups of Lie type, Monographs in Mathematics, 95. Birkh\"auser, 2001]. This simplifies Timmesfeld's (quasi) simplicity criterion for groups generated by abstract root subgroups [loc. cit., II (2.14)].

Affiliated with

Also associated with

No associations

Rating

Special rank one groups with abelian unipotent subgroups are perfect 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 Special rank one groups with abelian unipotent subgroups are perfect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Special rank one groups with abelian unipotent subgroups are perfect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-625612