Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)


Essential $ p$-dimension of $ \operatorname{\mathbf{PGL}}(p^2)$

Author: Alexander S. Merkurjev
Journal: J. Amer. Math. Soc. 23 (2010), 693-712
MSC (2010): Primary 16K50, 20G15
Published electronically: January 15, 2010
MathSciNet review: 2629984
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ p$ be a prime integer and $ F$ a field of characteristic different from $ p$. We prove that the essential $ p$-dimension of the group $ \operatorname{\mathbf{PGL}}_F(p^2)$ is equal to $ p^2+1$. This integer measures the complexity of the class of central simple algebras of degree $ p^2$ over field extensions of $ F$.

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

Similar Articles

Retrieve articles in Journal of the American Mathematical Society with MSC (2010): 16K50, 20G15

Retrieve articles in all journals with MSC (2010): 16K50, 20G15

Additional Information

Alexander S. Merkurjev
Affiliation: Department of Mathematics, University of California, Los Angeles, California 90095-1555

Keywords: Essential $p$-dimension, Brauer group, algebraic tori.
Received by editor(s): December 8, 2008
Received by editor(s) in revised form: July 12, 2009
Published electronically: January 15, 2010
Additional Notes: The work has been supported by the NSF grant DMS #0652316.
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia