ON KAZHDAN CONSTANTS OF FINITE INDEX SUBGROUPS IN SLn(ℤ)
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Publication:2888843
DOI10.1142/S0218196712500269zbMath1251.20046arXiv1007.4463OpenAlexW2079491501MaRDI QIDQ2888843
Publication date: 4 June 2012
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.4463
principal congruence subgroupssubgroups of finite indexKazhdan constantsCSPKazhdan property (T)groups of bounded generation
Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Discrete subgroups of Lie groups (22E40)
Cites Work
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- Discrete groups, expanding graphs and invariant measures. With an appendix by Jonathan D. Rogawski
- Dependence of Kazhdan constants on generating subsets
- Universal lattices and unbounded rank expanders.
- Uniform Kazhdan constant for some families of linear groups.
- Finite factor groups of the unimodular group
- Generations for arithmetic groups.
- Property \((T)\) for noncommutative universal lattices
- Bounded Elementary Generation of SL n (O)
- KAZHDAN CONSTANTS FOR SLn(ℤ)
- A Remark on the Congruence Subgroup Problem
- Sous-groupes d'indice fini dans $SL\left( {n,Z} \right)$
- Bounded generation and Kazhdan's property (T)
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