Prime-to-p étale covers of algebraic groups

Details Prime-to-p étale covers of algebraic groups Prime-to-p étale covers of algebraic groups

2011-09-13

arxiv.org/abs/1109.2802v3

Mathematics

Algebraic Geometry

13 pages, proof of first result greatly simplified, application to the Brauer group added

Scientific paper

Let G be a connected algebraic group over an algebraically closed field of characteristic p (possibly 0), and X a variety on which G acts transitively with connected stabilizers. We show that any \'etale Galois cover of X of degree prime to p is also homogeneous, and that the maximal prime-to-p quotient of the \'etale fundamental group of X is commutative. We moreover obtain an explicit bound for the number of topological generators of the said quotient. When G is commutative, we also obtain a description of the prime-to-p torsion in the Brauer group of G.

Affiliated with

Also associated with

No associations

Rating

Prime-to-p étale covers of algebraic 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 Prime-to-p étale covers of algebraic groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Prime-to-p étale covers of algebraic groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-334024