On the asymptotic number of generators of high rank arithmetic lattices
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Publication:2083510
DOI10.1307/mmj/20217204OpenAlexW3123387511MaRDI QIDQ2083510
Raz Slutsky, Alexander Lubotzky
Publication date: 11 October 2022
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.07227
Discrete subgroups of Lie groups (22E40) Linear algebraic groups over global fields and their integers (20G30)
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Cites Work
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- Manifolds counting and class field towers
- On the existence of isotropic forms of semi-simple algebraic groups over number fields with prescribed local behavior.
- Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad
- Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups
- On the congruence subgroup problem
- On some \(\Lambda\)-analytic pro-\(p\) groups
- Computation of the metaplectic kernel
- Rank, combinatorial cost, and homology torsion growth in higher rank lattices
- Zariski dense subgroups of arithmetic groups
- Subgroup growth.
- On systems of generators of arithmetic subgroups of higher rank groups
- An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups
- Counting non-uniform lattices
- Algebraic and abstract simple groups
- Counting maximal arithmetic subgroups. Appendix by Jordan Ellenberg and Akshay Venkatesh
- Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
- Generations for arithmetic groups.
- Lectures on Chevalley Groups
- Volume versus rank of lattices
- Residually finite groups of finite rank
- On the Minimal Size of a Generating Set of Lattices in Lie Groups
- Normal Subgroup Growth of Linear Groups: the (G2; F4;E8)-Theorem
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