On the Dec group of finite abelian Galois extensions over global fields

Details On the Dec group of finite abelian Galois extensions over global fields On the Dec group of finite abelian Galois extensions over global fields

2008-12-12

arxiv.org/abs/0812.2433v1

Mathematics

Rings and Algebras

14 pages

Scientific paper

If K/F is a finite abelian Galois extension of global fields whose Galois group has exponent t, we prove that there exists a short exact sequence that has as a consequence that if t is square free, then Dec(K/F)=Br_{t}(K/F) which we use to show that prime exponent division algebras over Henselian valued fields with global residue fields are isomorphic to a tensor product of cyclic algebras. Finally, we construct a counterexample to the result for higher exponent division algebras.

Affiliated with

Also associated with

No associations

Rating

On the Dec group of finite abelian Galois extensions over global fields 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 On the Dec group of finite abelian Galois extensions over global fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Dec group of finite abelian Galois extensions over global fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-610500