Eigenvalues of the Laplacian, the First Betti Number and the Congruence Subgroup Problem

Annals of Mathematics ◽

10.2307/2118597 ◽

1996 ◽

Vol 144 (2) ◽

pp. 441 ◽

Author(s):

Alexander Lubotzky

Keyword(s):

Betti Number ◽

Congruence Subgroup ◽

Eigenvalues Of The Laplacian ◽

Subgroup Problem ◽

Congruence Subgroup Problem

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The first Betti number of arithmetic groups and the congruence subgroup problem

Linear Algebraic Groups and Their Representations - Contemporary Mathematics ◽

10.1090/conm/153/01308 ◽

1993 ◽

pp. 95-107 ◽

Author(s):

M. S. Raghunathan ◽

T. N. Venkataramana

Keyword(s):

Betti Number ◽

Congruence Subgroup ◽

Arithmetic Groups ◽

Subgroup Problem ◽

Congruence Subgroup Problem

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On the congruence-subgroup problem for some anisotropic algebraic groups over number fields.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1989.402.138 ◽

1989 ◽

Vol 1989 (402) ◽

pp. 138-152

Keyword(s):

Congruence Subgroup ◽

Algebraic Groups ◽

Number Fields ◽

Subgroup Problem ◽

Congruence Subgroup Problem

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The congruence subgroup problem

Arithmetic Groups - Lecture Notes in Mathematics ◽

10.1007/bfb0094573 ◽

1980 ◽

pp. 84-148

Author(s):

James E. Humphreys

Keyword(s):

Congruence Subgroup ◽

Subgroup Problem ◽

Congruence Subgroup Problem

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A survey of the congruence subgroup problem

Lecture Notes in Mathematics - Algebraic K-Theory ◽

10.1007/bfb0062176 ◽

1982 ◽

pp. 197-207 ◽

Author(s):

U. Rehmann

Keyword(s):

Congruence Subgroup ◽

Subgroup Problem ◽

Congruence Subgroup Problem

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Corrigendum to “On the Congruence Subgroup Problem for integral group rings” [J. Algebra 405 (2014) 1–34]

Journal of Algebra ◽

10.1016/j.jalgebra.2015.04.009 ◽

2015 ◽

Vol 435 ◽

pp. 339-340

Author(s):

Mauricio Caicedo ◽

Ángel del Río

Keyword(s):

Congruence Subgroup ◽

Group Rings ◽

Integral Group ◽

Integral Group Rings ◽

Subgroup Problem ◽

Congruence Subgroup Problem

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The congruence subgroup problem

Proceedings - Mathematical Sciences ◽

10.1007/bf02829437 ◽

2004 ◽

Vol 114 (4) ◽

pp. 299-308 ◽

Author(s):

M. S. Raghunathan

Keyword(s):

Congruence Subgroup ◽

Subgroup Problem ◽

Congruence Subgroup Problem

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Solution of the congruence subgroup problem for SL n (n ≥ 3) and Sp2n (n ≥ 2)

Publications mathématiques de l IHÉS ◽

10.1007/bf02684586 ◽

1967 ◽

Vol 33 (1) ◽

pp. 59-137 ◽

Author(s):

H. Bass ◽

J. Milnor ◽

J. -P. Serre

Keyword(s):

Congruence Subgroup ◽

Subgroup Problem ◽

Congruence Subgroup Problem

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On the full C*-algebras of arithmetic groups and the congruence subgroup problem

Forum Mathematicum ◽

10.1515/form.1999.021 ◽

1999 ◽

Vol 11 (6) ◽

Author(s):

M. B. BEKKA

Keyword(s):

Congruence Subgroup ◽

Arithmetic Groups ◽

Subgroup Problem ◽

Congruence Subgroup Problem

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The congruence subgroup problem for low rank free and free metabelian groups

Journal of Algebra ◽

10.1016/j.jalgebra.2017.01.001 ◽

2018 ◽

Vol 500 ◽

pp. 171-192 ◽

Author(s):

David El-Chai Ben-Ezra ◽

Alexander Lubotzky

Keyword(s):

Congruence Subgroup ◽

Low Rank ◽

Metabelian Groups ◽

Subgroup Problem ◽

Congruence Subgroup Problem

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On the congruence subgroup problem for anisotropic groups of inner type $$A_n$$

Mathematische Zeitschrift ◽

10.1007/s00209-019-02373-y ◽

2019 ◽

Vol 295 (1-2) ◽

pp. 583-594

Author(s):

M. M. Radhika ◽

M. S. Raghunathan

Keyword(s):

Congruence Subgroup ◽

Subgroup Problem ◽

Congruence Subgroup Problem

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