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Isogenies and Congruence Subgroups

  • M. S. Raghunathan
Part of the Progress in Mathematics book series (PM, volume 14)

Abstract

Throughout this paper k will denote a number field and V its set of valuations. Let S be any finite set of valuations including ∞, the set of archimedean valuations of k. For each v∈V, kV will denote the completion of k with respect to v and 0V the ring of integers in kV. We denote by A (resp. A(S)) the ring of integers (resp. S-integers) in k (so that A = A(∞)). Let G, H be linear reductive algebraic groups defined over k and f:G→H be a k-isogeny.

Keywords

Galois Group Congruence Subgroup Versus Versus Versus Versus Versus Maximal Compact Subgroup Quadratic Extension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1981

Authors and Affiliations

  • M. S. Raghunathan
    • 1
  1. 1.Tata Institute of Fundamental ResearchBombayIndia

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