Computing Automorphism Groups of Rational Functions

Details Computing Automorphism Groups of Rational Functions Computing Automorphism Groups of Rational Functions

2012-02-24

arxiv.org/abs/1202.5557v1

Mathematics

Number Theory

16 pages, Sage implementation included as an ancillary file

Scientific paper

Let phi be an endomorphism of the projective line of degree at least 2, defined over a noetherian commutative ring R with unity. We show that the automorphism group of phi is a finite group scheme, and we construct algorithms to compute it when R is a finite field or a number field. We also give an algorithm for determining when two such endomorphisms are conjugate. We have implemented these algorithms in Sage when R is a finite field or the field of rational numbers.

Affiliated with

Also associated with

No associations

Rating

Computing Automorphism Groups of Rational Functions 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 Computing Automorphism Groups of Rational Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Computing Automorphism Groups of Rational Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-290351