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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A central extension theorem for essential dimensions


Author: Ming-Chang Kang
Journal: Proc. Amer. Math. Soc. 136 (2008), 809-813
MSC (2000): Primary 12E05, 12F10, 12F20, 13F30
Published electronically: November 28, 2007
MathSciNet review: 2361852
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $ K$ be an arbitrary field and $ G$ a finite group. We will denote by $ \operatorname{ed}_K(G)$ the essential dimension of $ G$ over $ K$. A generalization of the central extension theorem of Buhler and Reichstein (Compositio Math. 106 (1997) 159-179, Theorem 5.3) is obtained.


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Additional Information

Ming-Chang Kang
Affiliation: Department of Mathematics, National Taiwan University, Taipei, Taiwan
Email: kang@math.ntu.edu.tw

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09078-8
PII: S 0002-9939(07)09078-8
Keywords: Essential dimension, Galois theory, group actions, valuation rings
Received by editor(s): November 28, 2006
Published electronically: November 28, 2007
Communicated by: Martin Lorenz
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.