Hyde, JamesLodha, Yash2019-09-072019-09-072019-09-072019-10-0110.1007/s00222-019-00880-7https://infoscience.epfl.ch/handle/20.500.14299/160920WOS:000482406500002We construct examples of finitely generated infinite simple groups of homeomorphisms of the real line. Equivalently, these are examples of finitely generated simple left (or right) orderable groups. This answers a well known open question of Rhemtulla from 1980 concerning the existence of such groups. In fact, our construction provides a family of continuum many isomorphism types of groups with these properties.MathematicsMathematicsprimary: 43a07secondary: 20f05text::journal::journal article::research article