Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

   

 

Simultaneous embeddings of finite dimensional division algebras


Authors: Louis Rowen and David Saltman
Journal: Proc. Amer. Math. Soc. 141 (2013), 737-744
MSC (2010): Primary 16K20, 16K40, 12E15; Secondary 16K50
Published electronically: November 19, 2012
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 16K20, 16K40, 12E15, 16K50

Retrieve articles in all journals with MSC (2010): 16K20, 16K40, 12E15, 16K50


Additional Information

Louis Rowen
Affiliation: Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel
Email: rowen@macs.biu.ac.il

David Saltman
Affiliation: Center for Communications Research-Princeton, 805 Bunn Drive, Princeton, New Jersey 08540
Email: saltman@idaccr.org

DOI: http://dx.doi.org/10.1090/S0002-9939-2012-11269-9
PII: S 0002-9939(2012)11269-9
Keywords: Division algebra, cyclic algebra, embedding, Schur index, index reduction, Weyl transfer, profinite group
Received by editor(s): September 13, 2010
Received by editor(s) in revised form: April 17, 2011
Published electronically: November 19, 2012
Additional Notes: This work was supported by the U.S.-Israel Binational Science Foundation (grant No. 2010149).
Communicated by: Harm Derksen
Article copyright: © Copyright 2012 Institute for Defense Analyses