The classification of almost simple $\tfrac{3}{2}$-transitive groups

Details The classification of almost simple $\tfrac{3}{2}$-transitive groups The classification of almost simple $\tfrac{3}{2}$-transitive groups

2011-03-31

arxiv.org/abs/1103.6069v3

Mathematics

Group Theory

minor revisions after referee report

Scientific paper

A finite transitive permutation group is said to be 3/2-transitive if all the nontrivial orbits of a point stabilizer have the same size greater than 1. Examples include the 2-transitive groups, Frobenius groups and several other less obvious ones. We prove that 3/2-transitive groups are either affine or almost simple, and classify the latter. One of the main steps in the proof is an arithmetic result on the subdegrees of groups of Lie type in characteristic $p$: with some explicitly listed exceptions, every primitive action of such a group is either 2-transitive, or has a subdegree divisible by $p$.

Affiliated with

Also associated with

No associations

Rating

The classification of almost simple $\tfrac{3}{2}$-transitive groups 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 The classification of almost simple $\tfrac{3}{2}$-transitive groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The classification of almost simple $\tfrac{3}{2}$-transitive groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-244697