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On the Essential Dimension of Some Semi-Direct Products

Published online by Cambridge University Press:  20 November 2018

Arne Ledet
Arne Ledet*
Affiliation:
Mathematical Sciences Research Institute 1000 Centennial Drive Berkeley, California 94720–5070 U.S.A., e-mail: ledet@msri.org
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Abstract

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We give an upper bound on the essential dimension of the group $\mathbb{Z}/q\,\rtimes \,{{\left( \mathbb{Z}/q \right)}^{*}}$ over the rational numbers, when $q$ is a prime power.

Keywords

12F10

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 3 , 01 September 2002 , pp. 422 - 427
Copyright
Copyright © Canadian Mathematical Society 2002

References

[B&R1] Buhler, J. and Reichstein, Z., On the essential dimension of a finite group. Compositio Math. 106 (1997), 106–1997.Google Scholar
[B&R2] , Versal cyclic polynomials. unpublished paper.Google Scholar
[H&M] Hashimoto, K. and Miyake, K., Inverse Galois problem for dihedral groups. Developments in Mathematics 2, Kluwer Academic Publishers, 1999, 165–181.Google Scholar
[K&M] Kemper, G. and Malle, G., Invariant fields of finite irreducible reflection groups. Math. Ann. 315 (1999), 315–1999.Google Scholar
[O] Ohm, J., On subfields of rational function fields. Arch. Math. 42 (1984), 42–1984.Google Scholar
[Ro] Roquette, P., Isomorphisms of generic splitting fields of simple algebras. J. Reine Angew.Math. 214/215 (1964), 215–1964.Google Scholar
[Sh] Shafarevich, I. R., Basic Algebraic Geometry 1 (2nd ed.). Springer-Verlag, Berlin 1994.Google Scholar