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Algebra, Arithmetic and Geometry with Applications pp 591–600Cite as

On p-Groups in Characteristic p

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Abstract

We produce generic polynomials for p-groups over the prime field Fp with a small number of parameters.

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References

  1. Abhyankar, S. S. (2000) Galois embeddings for linear groups. Trans. Amer. Math. Soc. 352, 3881–3912.

    Article  MathSciNet  MATH  Google Scholar 

  2. Buhler, J., Reichstein, Z. (1997) On the essential dimension of a finite group. Compositio Mathematica 106, 159–179.

    Article  MathSciNet  MATH  Google Scholar 

  3. Gaschütz, W. (1959) Fixkörper von p-Automorphismengruppen rein-transzendenter Körpererweiteriungen von p-Charakteristik. Math. Zeitschr. 71, 466–468.

    Article  MATH  Google Scholar 

  4. Jacobson, N. (1980) Basic Algebra II. W. H. Freeman and Company, New York.

    MATH  Google Scholar 

  5. Kemper, G. (2000) Generic polynomials are descent-generic. IWR Preprint, Heidelberg.

    Google Scholar 

  6. Kemper, G., Mattig, E. (2000) Generic polynomials with few parameters. J. Symbolic Computation 30, 843–857.

    Article  MathSciNet  MATH  Google Scholar 

  7. Kuyk, W. (1964) On a theorem of E. Noether. Nederl. Akad. Wetensch. Proc. Ser. A 67, 32–39.

    MathSciNet  MATH  Google Scholar 

  8. Ledet, A. (2000) Generic extensions and generic polynomials. J. Symbolic Computation 30, 867–872.

    Article  MathSciNet  MATH  Google Scholar 

  9. Noether, E. (1916) Gleichungen mit vorgeschriebener Gruppe. Math. Ann. 78, 221–229.

    Article  MathSciNet  Google Scholar 

  10. Saltman, D. J. (1982) Generic Galois extensions and problems in field theory. Adv. Math. 43, 250–283.

    Article  MathSciNet  MATH  Google Scholar 

  11. Weiss, E. (1969) Cohomology of groups. Pure and Applied Mathematics 34, Academic Press, New York&London.

    Google Scholar 

  12. Witt, E. (1936) Konstruktion von galoisschen Körpern der Charakteristik p zu vorgegebener Gruppe der Ordnung pf. J. Reine Angew. Math. 174, 237–245.

    Google Scholar 

  13. Witt, E. (1937) Zyklische Körper und Algebren der Charakteristik p vom Grad pn. J. Reine Angew. Math. 176, 126–140.

    Google Scholar 

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Authors
  1. Arne Ledet
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, Northern Kentucky University, Highland Heights, KY, 41099, USA

    Chris Christensen

  2. Department of Mathematics, University of Kentucky, Lexington, KY, 40506, USA

    Avinash Sathaye

  3. Bell Labs, 67, Whippany Road, Whippany, NJ, 07981, USA

    Ganesh Sundaram

  4. Department of Computer Sciences, University of Texas at Austin, Austin, TX, 78712, USA

    Chandrajit Bajaj

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© 2004 Springer-Verlag Berlin Heidelberg

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Ledet, A. (2004). On p-Groups in Characteristic p . In: Christensen, C., Sathaye, A., Sundaram, G., Bajaj, C. (eds) Algebra, Arithmetic and Geometry with Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18487-1_33

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  • DOI: https://doi.org/10.1007/978-3-642-18487-1_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00475-2

  • Online ISBN: 978-3-642-18487-1

  • eBook Packages: Springer Book Archive

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