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The Quarterly Journal of Mathematics Advance Access originally published online on August 28, 2007
The Quarterly Journal of Mathematics 2008 59(1):1-14; doi:10.1093/qmath/ham029
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© 2007. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

BI-ORDERINGS ON PURE BRAIDED THOMPSON'S GROUPS

José Burillo{dagger}

Departament de Matemática Aplicada IV, Escola Politècnica Superior de Castelldefels, Universitat Politécnica de Catalunya, Av. del Canal Olímpic S/N, 08860 Castelldefels, Barcelona, Spain

Juan González-Meneses {ddagger}

Departamento de Álgebra, Facultad de Matemáticas, Universidad de Sevilla, Apdo. 1160, 41080 Sevilla, Spain

{dagger} Corresponding author. E-mail: burillo{at}ma4.upc.edu

Received 26 September 2006;
  Abstract

In this paper it is proved that the pure braided Thompson's group BF admits a bi-order, analogously to the bi-order of the pure braid groups.

{ddagger} E-mail: meneses{at}us.es


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