Homology computations for complex braid groups

Callegaro, 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 -