Planar pure braids on six strands
2020 ◽
Vol 29
(01)
◽
pp. 1950097
Keyword(s):
The group of planar (or flat) pure braids on [Formula: see text] strands, also known as the pure twin group, is the fundamental group of the configuration space [Formula: see text] of [Formula: see text] labeled points in [Formula: see text] no three of which coincide. The planar pure braid groups on 3, 4 and 5 strands are free. In this note, we describe the planar pure braid group on 6 strands: it is a free product of the free group on 71 generators and 20 copies of the free abelian group of rank two.
2017 ◽
Vol 26
(01)
◽
pp. 1750003
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Keyword(s):
2005 ◽
Vol 14
(08)
◽
pp. 1087-1098
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Keyword(s):
2015 ◽
Vol 26
(01)
◽
pp. 1550010
◽
2018 ◽
Vol 2020
(24)
◽
pp. 9974-9987
Keyword(s):
2008 ◽
Vol 10
(supp01)
◽
pp. 1093-1102
2002 ◽
Vol 84
(3)
◽
pp. 645-662
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Keyword(s):
1993 ◽
Vol 02
(04)
◽
pp. 399-412
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Keyword(s):
2017 ◽
Vol 26
(05)
◽
pp. 1750028