A central extension theorem for essential dimensions
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- by Ming-Chang Kang PDF
- Proc. Amer. Math. Soc. 136 (2008), 809-813 Request permission
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.References
- Grégory Berhuy and Giordano Favi, Essential dimension: a functorial point of view (after A. Merkurjev), Doc. Math. 8 (2003), 279–330. MR 2029168
- Nicolas Bourbaki, Elements of mathematics. Commutative algebra, Hermann, Paris; Addison-Wesley Publishing Co., Reading, Mass., 1972. Translated from the French. MR 0360549
- J. Buhler and Z. Reichstein, On the essential dimension of a finite group, Compositio Math. 106 (1997), no. 2, 159–179. MR 1457337, DOI 10.1023/A:1000144403695
- Christian U. Jensen, Arne Ledet, and Noriko Yui, Generic polynomials, Mathematical Sciences Research Institute Publications, vol. 45, Cambridge University Press, Cambridge, 2002. Constructive aspects of the inverse Galois problem. MR 1969648
Additional Information
- Ming-Chang Kang
- Affiliation: Department of Mathematics, National Taiwan University, Taipei, Taiwan
- Email: kang@math.ntu.edu.tw
- Received by editor(s): November 28, 2006
- Published electronically: November 28, 2007
- Communicated by: Martin Lorenz
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 809-813
- MSC (2000): Primary 12E05, 12F10, 12F20, 13F30
- DOI: https://doi.org/10.1090/S0002-9939-07-09078-8
- MathSciNet review: 2361852