Algebraic & Geometric Topology Volume 25, issue 7 (2025)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Endomorphisms of Artin groups of type $D$

Fabrice Castel and Luis Paris

Algebraic & Geometric Topology 25 (2025) 3975–4008

DOI: 10.2140/agt.2025.25.3975

Bibliography

1	B H An, Y Cho, The automorphism groups of Artin groups of edge-separated CLTTF graphs, J. Korean Math. Soc. 60 (2023) 1171 MR4725961
2	R W Bell, D Margalit, Braid groups and the co-Hopfian property, J. Algebra 303 (2006) 275 MR2253663
3	M Bestvina, Non-positively curved aspects of Artin groups of finite type, Geom. Topol. 3 (1999) 269 MR1714913
4	J S Birman, Mapping class groups and their relationship to braid groups, Comm. Pure Appl. Math. 22 (1969) 213 MR243519
5	J S Birman, H M Hilden, On isotopies of homeomorphisms of Riemann surfaces, Ann. of Math. 97 (1973) 424 MR325959
6	J S Birman, A Lubotzky, J McCarthy, Abelian and solvable subgroups of the mapping class groups, Duke Math. J. 50 (1983) 1107 MR726319
7	N Bourbaki, Groupes et algèbres de Lie, Chapitres 4–6, 1337, Hermann (1968) MR0240238
8	C Bregman, R Charney, K Vogtmann, Outer space for RAAGs, Duke Math. J. 172 (2023) 1033 MR4576238
9	E Brieskorn, Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe, Invent. Math. 12 (1971) 57 MR293615
10	E Brieskorn, Sur les groupes de tresses (d’après V I Arnold), from: "Séminaire Bourbaki, 1971/1972", Lecture Notes in Math. 317, Springer (1973) MR0422674
11	E Brieskorn, K Saito, Artin-Gruppen und Coxeter-Gruppen, Invent. Math. 17 (1972) 245 MR323910
12	F Castel, Représentations géométriques des groupes de tresses, PhD thesis, Université de Bourgogne (2009)
13	F Castel, Geometric representations of the braid groups, 378, Soc. Math. France (2016) MR3499033
14	R Charney, J Crisp, Automorphism groups of some affine and finite type Artin groups, Math. Res. Lett. 12 (2005) 321 MR2150887
15	R Charney, K Vogtmann, Finiteness properties of automorphism groups of right-angled Artin groups, Bull. Lond. Math. Soc. 41 (2009) 94 MR2481994
16	R Charney, K Vogtmann, Subgroups and quotients of automorphism groups of RAAGs, from: "Low-dimensional and symplectic topology" (editor M Usher), Proc. Sympos. Pure Math. 82, Amer. Math. Soc. (2011) 9 MR2768650
17	L Chen, K Kordek, D Margalit, Homomorphisms between braid groups, preprint (2019) arXiv:1910.00712
18	H S M Coxeter, Discrete groups generated by reflections, Ann. of Math. 35 (1934) 588 MR1503182
19	H S M Coxeter, The complete enumeration of finite groups of the form R_i² = (R_iR_j)^k_ij = 1, J. London Math. Soc. 10 (1935) 21 MR1581693
20	J Crisp, Automorphisms and abstract commensurators of 2-dimensional Artin groups, Geom. Topol. 9 (2005) 1381 MR2174269
21	J Crisp, L Paris, Artin groups of type B and D, Adv. Geom. 5 (2005) 607 MR2174484
22	M Cumplido, L Paris, Commensurability in Artin groups of spherical type, Rev. Mat. Iberoam. 38 (2022) 503 MR4404774
23	M B Day, Peak reduction and finite presentations for automorphism groups of right-angled Artin groups, Geom. Topol. 13 (2009) 817 MR2470964
24	M B Day, On solvable subgroups of automorphism groups of right-angled Artin groups, Internat. J. Algebra Comput. 21 (2011) 61 MR2787453
25	P Deligne, Les immeubles des groupes de tresses généralisés, Invent. Math. 17 (1972) 273 MR422673
26	J L Dyer, E K Grossman, The automorphism groups of the braid groups, Amer. J. Math. 103 (1981) 1151 MR636956
27	D B A Epstein, Curves on 2-manifolds and isotopies, Acta Math. 115 (1966) 83 MR214087
28	B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
29	N D Gilbert, J Howie, V Metaftsis, E Raptis, Tree actions of automorphism groups, J. Group Theory 3 (2000) 213 MR1753479
30	P de la Harpe, Topics in geometric group theory, Univ. Chicago Press (2000) MR1786869
31	K Kordek, D Margalit, Homomorphisms of commutator subgroups of braid groups, Bull. Lond. Math. Soc. 54 (2022) 95 MR4396925
32	C Labruère, L Paris, Presentations for the punctured mapping class groups in terms of Artin groups, Algebr. Geom. Topol. 1 (2001) 73 MR1805936
33	M R Laurence, A generating set for the automorphism group of a graph group, J. London Math. Soc. 52 (1995) 318 MR1356145
34	H v d Lek, The homotopy type of complex hyperplane complements, PhD thesis, Katholieke Universiteit Nijmegen (1983)
35	S Y Orevkov, Homomorphisms of commutator subgroups of braid groups with small number of strings, Ann. Fac. Sci. Toulouse Math. 33 (2024) 105 MR4783333
36	L Paris, Centralizers of parabolic subgroups of Artin groups of type A_l,B_l, and D_l, J. Algebra 196 (1997) 400 MR1475117
37	L Paris, Parabolic subgroups of Artin groups, J. Algebra 196 (1997) 369 MR1475116
38	L Paris, Artin groups of spherical type up to isomorphism, J. Algebra 281 (2004) 666 MR2098788
39	L Paris, D Rolfsen, Geometric subgroups of mapping class groups, J. Reine Angew. Math. 521 (2000) 47 MR1752295
40	B Perron, J P Vannier, Groupe de monodromie géométrique des singularités simples, Math. Ann. 306 (1996) 231 MR1411346
41	I Soroko, Artin groups of types F₄ and H₄ are not commensurable with that of type D₄, Topology Appl. 300 (2021) 107770 MR4295217
42	J Tits, Le problème des mots dans les groupes de Coxeter, from: "Symposia Mathematica, I", Academic (1969) 175 MR254129
43	N Vaskou, Automorphisms of large-type free-of-infinity Artin groups, Geom. Dedicata 219 (2025) 16 MR4848803