Ordering pure braid groups on closed surfaces
classification
🧮 math.GT
math.GR
keywords
braidclosedgroupspuresurfacesbi-orderablegeneralizednon-orientable
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We prove that the pure braid groups on closed, orientable surfaces are bi-orderable, and that the pure braid groups on closed, non-orientable surfaces have generalized torsion, thus they are not bi-orderable.
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