Free subgroups of \(SL(n,Z),\) \(n>2\), generated by transvections

DOI10.1016/0021-8693(88)90198-6zbMath0648.20050OpenAlexW1972015027MaRDI QIDQ1105041

Stephen P. Humphries

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90198-6

zbMATH Keywords

free subgroupssubgroups of infinite indexgenerated by transvections

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items

Some subgroups of SL(3,Z) generated by transvections ⋮ Free products of matrices ⋮ Zariski density and computing in arithmetic groups ⋮ Zariski density and computing with \(S\)-integral groups ⋮ An approach to automorphisms of free groups and braids via transvections ⋮ 2-generation of simple Lie algebras and free dense subgroups of algebraic groups ⋮ Some subgroups of SL(3, z) generated by involutions ⋮ Linear groups and computation ⋮ Free products in mapping class groups generated by Dehn twists

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