Right orderable groups that are not locally indicable

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Abstract

The universal covering group of SL(2, R) is right orderable, but is not locally indicable, in fact, it contains nontrivial finitely generated perfect subgroups. © 1991 by Pacific Journal of Mathematics.

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Bergman, G. M. (1991). Right orderable groups that are not locally indicable. Pacific Journal of Mathematics, 147(2), 243–248. https://doi.org/10.2140/pjm.1991.147.243

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