Abstract
L. Small asked whether two finite dimensional division algebras containing a common central subfield F are embeddable in a common division algebra. Although we have a counterexample, the question is answered affirmatively for division algebras whose centers are finitely generated over a common perfect subfield.
| Original language | English |
|---|---|
| Pages (from-to) | 737-744 |
| Number of pages | 8 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 141 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2013 |
Keywords
- Cyclic algebra
- Division algebra
- Embedding
- Index reduction
- Profinite group
- Schur index
- Weyl transfer
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