On residual properties of pure braid groups of closed surfaces
classification
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keywords
groupsbraidclosednilpotentresiduallyfreeprovepure
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We prove that pure braid groups of closed surface are almost-direct products of residually torsion free nilpotent groups and hence residually torsion free nilpotent. As a Corollary, we prove also that braid groups on 2 strands of closed surfaces are residually nilpotent.
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