On the homology of the commutator subgroup of the pure braid group
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On the homology of the commutator subgroup of the pure braid group. / Bianchi, Andrea.
In: Proceedings of the American Mathematical Society, Vol. 149, No. 6, 06.2021, p. 2387-2401.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - On the homology of the commutator subgroup of the pure braid group
AU - Bianchi, Andrea
PY - 2021/6
Y1 - 2021/6
N2 - We study the homology of [Pn,Pn], the commutator subgroup of the pure braid group on n strands, and show that Hl([Pn,Pn]) contains a free abelian group of infinite rank for all 1≤l≤n−2. As a consequence we determine the cohomological dimension of [Pn,Pn]: for n≥2 we have cd([Pn,Pn])=n−2.
AB - We study the homology of [Pn,Pn], the commutator subgroup of the pure braid group on n strands, and show that Hl([Pn,Pn]) contains a free abelian group of infinite rank for all 1≤l≤n−2. As a consequence we determine the cohomological dimension of [Pn,Pn]: for n≥2 we have cd([Pn,Pn])=n−2.
U2 - 10.1090/proc/15404
DO - 10.1090/proc/15404
M3 - Journal article
VL - 149
SP - 2387
EP - 2401
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 6
ER -
ID: 259424537