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PSL(2, 2n)-Extensions Over

Published online by Cambridge University Press:  20 November 2018

Arne Ledet
Arne Ledet*
Affiliation:
Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, U.S.A. e-mail: arne.ledet@ttu.edu
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Abstract

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We construct a one-parameter generic polynomial for $\text{PSL}\left( 2,{{2}^{n}} \right)$ over ${{\mathbb{F}}_{{{2}^{n}}}}$.

Keywords

12F1212E10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 1 , 01 March 2006 , pp. 113 - 116
Copyright
Copyright © Canadian Mathematical Society 2006

References

[HM] Hashimoto, K. and Miyake, K., Inverse Galois problem for dihedral groups. In: Number Theory and Its Applications, Developments in Mathematics 2, Kluwer Academic Publishers, 1999, pp. 165–181.Google Scholar
[Hu] Huppert, B., Endliche Gruppen. I. Grundlehren der mathematischen Wissenschaften 134, Springer-Verlag, Berlin, 1967.Google Scholar
[Ja] Jacobson, N., Basic Algebra. II. W. H. Freeman, New York, 1989.Google Scholar
[JLY] Jensen, C. U., Ledet, A., and Yui, N., Generic Polynomials: Constructive Aspects of the Inverse Galois Problem. Mathematical Sciences Research Institute Publication 45, Cambridge University Press, Cambridge, 2002.Google Scholar
[KM] Kemper, G. and Mattig, E., Generic polynomials with few parameters. J. Symbolic Comput. 30(2000), no. 6, 843–857.Google Scholar
[Sa] Saltman, D. J., Generic Galois extensions and problems in field theory. Adv. in Math. 43(1982), no. 3, 250–283.Google Scholar