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A central extension theorem for essential dimensions
Author(s):
Ming-Chang
Kang
Journal:
Proc. Amer. Math. Soc.
136
(2008),
809-813.
MSC (2000):
Primary 12E05, 12F10, 12F20, 13F30
Posted:
November 28, 2007
MathSciNet review:
2361852
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Abstract:
Let  be an arbitrary field and  a finite group. We will denote by  the essential dimension of  over  . A generalization of the central extension theorem of Buhler and Reichstein (Compositio Math. 106 (1997) 159-179, Theorem 5.3) is obtained.
References:
-
- [BF]
- G. Berhuy and G. Favi, Essential dimension: a functorial point of view after A. Merkurjev, Documenta Math. 8 (2003), 279-330. MR 2029168 (2004m:11056)
- [Bo]
- N. Bourbaki, Commutative algebra, Hermann, Paris, 1972. MR 0360549 (50:12997)
- [BR]
- J. Buhler and Z. Reichstein, On the essential dimension of a finite group, Compositio Math. 106 (1997), 159-179. MR 1457337 (98e:12004)
- [JLY]
- C. Jensen, A. Ledet and N. Yui, Generic polynomials: constructive aspects of the inverse Galois problem, MSRI Publ. vol. 45, Cambridge University Press, Cambridge, 2002. MR 1969648 (2004d:12007)
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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:
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
Posted:
November 28, 2007
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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