Subgroups of SL(2, R) freely generated by three parabolic elements

DOI10.1080/03081087908817276zbMath0412.20033OpenAlexW2054983449MaRDI QIDQ4200378

Martin G. Scharlemann

Publication date: 1979

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087908817276

zbMATH Keywords

modular groupparabolic elementsfree discrete subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Free nonabelian groups (20E05)

Related Items (4)

Free subgroups of \(SL(n,Z),\) \(n>2\), generated by transvections ⋮ Some subgroups of SL(3,Z) generated by transvections ⋮ Linear groups ⋮ Groups generated by positive multi-twists and the fake lantern problem

Cites Work

• Pairs of real 2-by-2 matrices that generate free products
• On Certain Pairs of Matrices which Generate free Groups
• Groups Generated by two Parabolic Linear Fractional Transformations

This page was built for publication: Subgroups of SL(2, R) freely generated by three parabolic elements