Abstract
We improve the known bounds on the essential dimension of p-groups over (large) fields of characteristic p.
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References
S. S. Abhyankar, Galois embeddings for linear groups,Trans. Amer. Math. Soc. 352 (2000), 3881–3912.
J. Buller and Z. Reichstein, On the essential dimension of a finite group, Compositio Mathematica 106 (1997), 159–179.
B. Huppert, “Endliche Gruppen I,” Grundlehren der mathematischen Wissenschaften, 134. Springer-Verlag, 1967.
C. U. Jensen, A. Ledet and N. Yui, “Generic Polynomials,” MSRI Publications, 45. Cambridge University Press, 2002.
A. Ledet, On p-group in characteristic p, preprint, 2001.
Z. Reichstein, On the notion of essential dimension for algebraic groups, Transform. Groups 5 (2000), 265–304.
E. Weiss, “Cohomology of Groups,” Pure and applied mathematics, 34. Academic Press, New York, 1969.
E. Witt, Konstruktion von galoisschen Körpern der Charakteristik p zu vorgegebener Gruppe der Ordnung pf, J. Reine Angew. Math. 174 (1936), 237–245.
E. Witt, Zyklische Körper und Algebren der Charakteristik p vom Grad p’“, J. Reine Angew. Math. 176 (1937), 126–140.
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© 2004 Kluwer Academic Publishers
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Ledet, A. (2004). On the Essential Dimension of p-Groups. In: Hashimoto, Ki., Miyake, K., Nakamura, H. (eds) Galois Theory and Modular Forms. Developments in Mathematics, vol 11. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0249-0_8
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DOI: https://doi.org/10.1007/978-1-4613-0249-0_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7960-7
Online ISBN: 978-1-4613-0249-0
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