Wild cyclic-by-tame extensions

Details Wild cyclic-by-tame extensions Wild cyclic-by-tame extensions

2008-07-30

arxiv.org/abs/0807.4790v2

J. Pure Appl. Algebra 214 (2010), pp. 565--573

Mathematics

Number Theory

15 pages, section 6.2 eliminated, major simplifications in former Proposition 4.3 (now Proposition 4.2), corrections in former

Scientific paper

10.1016/j.jpaa.2009.06.017

Suppose G is a semi-direct product of the form Z/p^n \rtimes Z/m where p is prime and m is relatively prime to p. Suppose K is a local field of characteristic p > 0. The main result states necessary and sufficient conditions on the ramification filtrations that occur for wildly ramified G-Galois extensions of K. In addition, we prove that there exists a parameter space for G-Galois extensions of K with given ramification filtration whose dimension depends only on the ramification filtration. We provide explicit equations for wild cyclic extensions of K of degree p^3.

Affiliated with

Also associated with

No associations

Rating

Wild cyclic-by-tame extensions 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 Wild cyclic-by-tame extensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wild cyclic-by-tame extensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-259335