On the congruence subgroup problem

Madabusi S. Raghunathan

Displaying similar documents to “On the congruence subgroup problem”

Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups

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Computation of the metaplectic kernel

Gopal Prasad, Andrei S. Rapinchuk (1996)

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Eisenstein series and fields of definition

M. Karel (1978)

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A splitting theorem for linear polycyclic groups.

Abels, Herbert, Alperin, Roger C. (2009)

The New York Journal of Mathematics [electronic only]

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Group extensions of $p$ -adic and adelic linear groups

Calvin C. Moore (1968)

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Factorizations of some Groups of Lie Type of Lie Rank 4 Факторизации на някои групи от лиев тип и лиев ранг 4

Gentcheva, Elenka, Gentchev, Tsanko (2010)

Union of Bulgarian Mathematicians

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Еленка Генчева, Цанко Генчев В настоящата работа се разглеждат крайни прости групи G , които могат да се представят като произведение на две свои собствени неабелеви прости подгрупи A и B. Всяко такова представяне G = AB е прието да се нарича факторизация на G, а тъй като множителите A и B са избрани да бъдат прости подгрупи на G, то разглежданите факторизации са известни още като прости факторизации на G. Тук се предполага, че G е проста група от лиев тип и лиев ранг 4 над крайно поле...

Solvable groups with many BFC-subgroups.

O. D. Artemovych (2000)

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We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.

On N-high subgroups of abelian groups

John M. Irwin, K. Benabdallah (1968)

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Automorphism groups of polycyclic-by-finite groups and arithmetic groups

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...