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.

I: Proceedings of the American Mathematical Society, Bind 149, Nr. 6, 06.2021, s. 2387-2401.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bianchi, A 2021, 'On the homology of the commutator subgroup of the pure braid group', Proceedings of the American Mathematical Society, bind 149, nr. 6, s. 2387-2401. https://doi.org/10.1090/proc/15404

APA

Bianchi, A. (2021). On the homology of the commutator subgroup of the pure braid group. Proceedings of the American Mathematical Society, 149(6), 2387-2401. https://doi.org/10.1090/proc/15404

Vancouver

Bianchi A. On the homology of the commutator subgroup of the pure braid group. Proceedings of the American Mathematical Society. 2021 jun.;149(6):2387-2401. https://doi.org/10.1090/proc/15404

Author

Bianchi, Andrea. / On the homology of the commutator subgroup of the pure braid group. I: Proceedings of the American Mathematical Society. 2021 ; Bind 149, Nr. 6. s. 2387-2401.

Bibtex

@article{39aeaa31d69f456bac58922b8b8495ac,
title = "On the homology of the commutator subgroup of the pure braid group",
abstract = "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.",
author = "Andrea Bianchi",
year = "2021",
month = jun,
doi = "10.1090/proc/15404",
language = "English",
volume = "149",
pages = "2387--2401",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "6",

}

RIS

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