# Homology computations for complex braid groups

Journal of the European Mathematical Society (2014)

- Volume: 016, Issue: 1, page 103-164
- ISSN: 1435-9855

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topCallegaro, Filippo, and Marin, Ivan. "Homology computations for complex braid groups." Journal of the European Mathematical Society 016.1 (2014): 103-164. <http://eudml.org/doc/277757>.

@article{Callegaro2014,

abstract = {Complex braid groups are the natural generalizations of braid groups associated to arbitrary (finite) complex reflection groups. We investigate several methods for computing the homology of these groups. In particular, we get the Poincaré polynomial with coefficients in a finite field for one large series of such groups, and compute the second integral cohomology group for all of them. As a consequence we get non-isomorphism results for these groups.},

author = {Callegaro, Filippo, Marin, Ivan},

journal = {Journal of the European Mathematical Society},

keywords = {complex reflection groups; braid groups; group homology; Salvetti complex; Garside groups; Schur multiplier; complex reflection groups; braid groups; group homology; Salvetti complexes; Garside groups; Schur multipliers},

language = {eng},

number = {1},

pages = {103-164},

publisher = {European Mathematical Society Publishing House},

title = {Homology computations for complex braid groups},

url = {http://eudml.org/doc/277757},

volume = {016},

year = {2014},

}

TY - JOUR

AU - Callegaro, Filippo

AU - Marin, Ivan

TI - Homology computations for complex braid groups

JO - Journal of the European Mathematical Society

PY - 2014

PB - European Mathematical Society Publishing House

VL - 016

IS - 1

SP - 103

EP - 164

AB - Complex braid groups are the natural generalizations of braid groups associated to arbitrary (finite) complex reflection groups. We investigate several methods for computing the homology of these groups. In particular, we get the Poincaré polynomial with coefficients in a finite field for one large series of such groups, and compute the second integral cohomology group for all of them. As a consequence we get non-isomorphism results for these groups.

LA - eng

KW - complex reflection groups; braid groups; group homology; Salvetti complex; Garside groups; Schur multiplier; complex reflection groups; braid groups; group homology; Salvetti complexes; Garside groups; Schur multipliers

UR - http://eudml.org/doc/277757

ER -

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