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Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem

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Algebra, Arithmetic and Geometry with Applications

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Abstract

The aim of this paper is to report on Galois realizations of finite groups over ℚ obtained from Galois representation associated to arithmetical-geometrical objects, i.e. attached to some abelian varieties or to certain modular forms. Using this method, new families of finite groups, linear groups over finite fields, appear as Galois groups over ℚ.

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Authors
  1. Núria Vila
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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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Vila, N. (2004). Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem. 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_48

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  • DOI: https://doi.org/10.1007/978-3-642-18487-1_48

  • 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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