Permanence criteria for semi-free profinite groups

Details Permanence criteria for semi-free profinite groups Permanence criteria for semi-free profinite groups

2008-10-05

arxiv.org/abs/0810.0845v2

Mathematics

Group Theory

24 pages

Scientific paper

10.1007/s00208-010-0484-8

We introduce the condition of a profinite group being semi-free, which is more general than being free and more restrictive than being quasi-free. In particular, every projective semi-free profinite group is free. We prove that the usual permanence properties of free groups carry over to semi-free groups. Using this, we conclude that if k is a separably closed field, then many field extensions of k((x,y)) have free absolute Galois groups.

Affiliated with

Also associated with

No associations

Rating

Permanence criteria for semi-free profinite 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 Permanence criteria for semi-free profinite groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Permanence criteria for semi-free profinite groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-62150