Some subgroups of SL(3,Z) generated by transvections

DOI10.1080/00927879208824424zbMath0749.20026OpenAlexW2074634807MaRDI QIDQ4005603

Stephen P. Humphries

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/00927879208824424

zbMATH Keywords

free groupsspecial linear groupirreducibility conditionequivalence relationtransvectionssubgroups of \(SL(3,Z)\) generated by three transvections

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (1)

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Cites Work

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• Generation of special linear groups by transvections
• Free subgroups of \(SL(n,Z),\) \(n>2\), generated by transvections
• Congruence Properties of Zariski-Dense Subgroups I
• Orbits Under Symplectic Transvections I
• Subgroups of SL(2, R) freely generated by three parabolic elements
• Some subgroups of SL(3, z) generated by involutions

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