Algebraic & Geometric Topology Volume 22, issue 1 (2022)

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Homology of even Artin kernels

Rubén Blasco-García, José Ignacio Cogolludo-Agustín and Conchita Martínez-Pérez

Algebraic & Geometric Topology 22 (2022) 349–372

DOI: 10.2140/agt.2022.22.349

Bibliography

1	Y Antolín, L Ciobanu, Geodesic growth in right-angled and even Coxeter groups, European J. Combin. 34 (2013) 859 MR3021516
2	E Artal Bartolo, J I Cogolludo-Agustín, S López de Medrano, D Matei, Module structure of the homology of right-angled Artin kernels, (2020) arXiv:2002.00279
3	E Artal Bartolo, J I Cogolludo-Agustín, D Matei, Quasi-projectivity, Artin–Tits groups, and pencil maps, from: "Topology of algebraic varieties and singularities" (editors J I Cogolludo-Agustín, E Hironaka), Contemp. Math. 538, Amer. Math. Soc. (2011) 113 MR2777818
4	R Blasco-García, Even Artin groups, PhD thesis, Universidad de Zaragoza (2019)
5	R Blasco-García, J I Cogolludo-Agustín, Quasi-projectivity of even Artin groups, Geom. Topol. 22 (2018) 3979 MR3890769
6	R Blasco-García, C Martínez-Pérez, L Paris, Poly-freeness of even Artin groups of FC type, Groups Geom. Dyn. 13 (2019) 309 MR3900773
7	N Bourbaki, Éléments de mathématique, XXXIV : Groupes et algèbres de Lie, 1337, Hermann (1968) MR0240238
8	K U Bux, C Gonzalez, The Bestvina–Brady construction revisited : geometric computation of Σ–invariants for right-angled Artin groups, J. Lond. Math. Soc. 60 (1999) 793 MR1753814
9	R Charney, M W Davis, Finite K(π,1)s for Artin groups, from: "Prospects in topology" (editor F Quinn), Ann. of Math. Stud. 138, Princeton Univ. Press (1995) 110 MR1368655
10	R Charney, M W Davis, The K(π,1)–problem for hyperplane complements associated to infinite reflection groups, J. Amer. Math. Soc. 8 (1995) 597 MR1303028
11	H S M Coxeter, Discrete groups generated by reflections, Ann. of Math. 35 (1934) 588 MR1503182
12	H S M Coxeter, The complete enumeration of finite groups of the form R_i² = (R_iR_j)^k_ij = 1, J. Lond. Math. Soc. 10 (1935) 21
13	G Duchamp, D Krob, Free partially commutative structures, J. Algebra 156 (1993) 318 MR1216472
14	S Hermiller, Z Šunić, Poly-free constructions for right-angled Artin groups, J. Group Theory 10 (2007) 117 MR2288463
15	J Howie, Bestvina–Brady groups and the plus construction, Math. Proc. Cambridge Philos. Soc. 127 (1999) 487 MR1713123
16	I J Leary, M Saadetoğlu, The cohomology of Bestvina–Brady groups, Groups Geom. Dyn. 5 (2011) 121 MR2763781
17	J Meier, H Meinert, L VanWyk, Higher generation subgroup sets and the Σ–invariants of graph groups, Comment. Math. Helv. 73 (1998) 22 MR1610579
18	S Papadima, A I Suciu, Toric complexes and Artin kernels, Adv. Math. 220 (2009) 441 MR2466422
19	L Paris, Lectures on Artin groups and the K(π,1) conjecture, from: "Groups of exceptional type, Coxeter groups and related geometries" (editor N S N Sastry), Springer Proc. Math. Stat. 82, Springer (2014) 239 MR3207280
20	M Salvetti, A Villa, Combinatorial methods for the twisted cohomology of Artin groups, Math. Res. Lett. 20 (2013) 1157 MR3228628