On the congruence subgroup problem
Madabusi S. Raghunathan (1976)
Publications Mathématiques de l'IHÉS
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Madabusi S. Raghunathan (1976)
Publications Mathématiques de l'IHÉS
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Armand Borel, Gopal Prasad (1989)
Publications Mathématiques de l'IHÉS
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Abels, Herbert, Alperin, Roger C. (2009)
The New York Journal of Mathematics [electronic only]
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Cornut, C., Vatsal, V. (2005)
Documenta Mathematica
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Armand Borel (1963)
Publications Mathématiques de l'IHÉS
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Oliver Baues, Fritz Grunewald (2006)
Publications Mathématiques de l'IHÉS
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We show that the outer automorphism group of a polycyclic-by-finite group is an arithmetic group. This result follows from a detailed structural analysis of the automorphism groups of such groups. We use an extended version of the theory of the algebraic hull functor initiated by Mostow. We thus make applicable refined methods from the theory of algebraic and arithmetic groups. We also construct examples of polycyclic-by-finite groups which have an automorphism group which does not contain...
Gopal Prasad, Andrei S. Rapinchuk (1996)
Publications Mathématiques de l'IHÉS
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Gopal Prasad (1989)
Publications Mathématiques de l'IHÉS
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M. Karel (1978)
Compositio Mathematica
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Zoé Chatzidakis, Ehud Hrushovski (2012)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this paper we introduce a new invariant for extensions of difference fields, the , and discuss its properties.