On the homology of the commutator subgroup of the pure braid group
Research output: Contribution to journal › Journal article › peer-review
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.
Original language | English |
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Journal | Proceedings of the American Mathematical Society |
Volume | 149 |
Issue number | 6 |
Pages (from-to) | 2387-2401 |
ISSN | 0002-9939 |
DOIs | |
Publication status | Published - Jun 2021 |
Externally published | Yes |
ID: 259424537