Embeddings of fields in simple algebras over global fields

Details Embeddings of fields in simple algebras over global fields Embeddings of fields in simple algebras over global fields

2011-08-03

arxiv.org/abs/1108.0830v2

Mathematics

Number Theory

27 pages, 1 figures. Move Section 4 of arXiv:1105.2895v2 in this paper; add a new Section 6

Scientific paper

Let $F$ be a global field, $A$ a central simple algebra over $F$ and $K$ a finite (separable or not) field extension of $F$ with degree $[K:F]$ dividing the degree of $A$ over $F$. An embedding of $K$ in $A$ over $F$ exists implies an embedding exists locally everywhere. In this paper we give a quite complete account under what conditions the converse (i.e. the local-global principle in question) may hold.

Affiliated with

Also associated with

No associations

Rating

Embeddings of fields in simple algebras 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 Embeddings of fields in simple algebras over global fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Embeddings of fields in simple algebras over global fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-663903