Algebraic & Geometric Topology Volume 21, issue 4 (2021)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Parabolic subgroups acting on the additional length graph

Yago Antolín and María Cumplido

Algebraic & Geometric Topology 21 (2021) 1791–1816

DOI: 10.2140/agt.2021.21.1791

Bibliography

1	E Artin, Theory of braids, Ann. of Math. 48 (1947) 101 MR19087
2	M Bestvina, K Fujiwara, Bounded cohomology of subgroups of mapping class groups, Geom. Topol. 6 (2002) 69 MR1914565
3	E Brieskorn, K Saito, Artin-Gruppen und Coxeter-Gruppen, Invent. Math. 17 (1972) 245 MR323910
4	M Calvez, B Wiest, Acylindrical hyperbolicity and Artin–Tits groups of spherical type, Geom. Dedicata 191 (2017) 199 MR3719080
5	M Calvez, B Wiest, Curve graphs and Garside groups, Geom. Dedicata 188 (2017) 195 MR3639631
6	M Calvez, B Wiest, Hyperbolic structures for Artin–Tits groups of spherical type, preprint (2019) arXiv:1904.02234
7	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
8	M Cumplido, On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group, J. Algebraic Combin. 49 (2019) 337 MR3945271
9	M Cumplido, V Gebhardt, J González-Meneses, B Wiest, On parabolic subgroups of Artin–Tits groups of spherical type, Adv. Math. 352 (2019) 572 MR3964156
10	F Dahmani, V Guirardel, D Osin, Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces, 1156, Amer. Math. Soc. (2017) MR3589159
11	P Dehornoy, L Paris, Gaussian groups and Garside groups, two generalisations of Artin groups, Proc. Lond. Math. Soc. 79 (1999) 569 MR1710165
12	P Deligne, Les immeubles des groupes de tresses généralisés, Invent. Math. 17 (1972) 273 MR422673
13	T Delzant, Sous-groupes à deux générateurs des groupes hyperboliques, from: "Group theory from a geometrical viewpoint" (editors É Ghys, A Haefliger, A Verjovsky), World Sci. (1991) 177 MR1170366
14	R Flores, J González-Meneses, On the growth of Artin–Tits monoids and the partial theta function, preprint (2018) arXiv:1808.03066
15	E Godelle, Normalisateurs et centralisateurs des sous-groupes paraboliques dans les groupes d’Artin–Tits, PhD thesis, Université de Picardie Jules Verne (2001)
16	E Godelle, Normalisateur et groupe d’Artin de type sphérique, J. Algebra 269 (2003) 263 MR2015311
17	E Godelle, Parabolic subgroups of Garside groups, J. Algebra 317 (2007) 1 MR2360138
18	P de la Harpe, Topics in geometric group theory, Univ. Chicago Press (2000) MR1786869
19	H van der Lek, The homotopy type of complex hyperplane complements, PhD thesis, Katholieke Universiteit Nijmegen (1983)
20	L Paris, Parabolic subgroups of Artin groups, J. Algebra 196 (1997) 369 MR1475116
21	L Paris, Artin monoids inject in their groups, Comment. Math. Helv. 77 (2002) 609 MR1933791