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Homological stability for the ribbon Higman–Thompson groups

Rachel Skipper and Xiaolei Wu

Algebraic & Geometric Topology 25 (2025) 4633–4665
Bibliography
1 J Aramayona, K U Bux, J Flechsig, N Petrosyan, X Wu, Asymptotic mapping class groups of Cantor manifolds and their finiteness properties, preprint (2021) arXiv:2110.05318
2 J Aramayona, L Funar, Asymptotic mapping class groups of closed surfaces punctured along Cantor sets, Mosc. Math. J. 21 (2021) 1 MR4219034
3 J Aramayona, N G Vlamis, Big mapping class groups: an overview, from: "In the tradition of Thurston : geometry and topology" (editors K Ohshika, A Papadopoulos), Springer (2020) 459 MR4264585
4 J Aroca, M Cumplido, A new family of infinitely braided Thompson’s groups, J. Algebra 607 (2022) 5 MR4441306
5 C Bleak, C Donoven, J Jonušas, Some isomorphism results for Thompson-like groups V n(G), Israel J. Math. 222 (2017) 1 MR3736497
6 C F Bödigheimer, U Tillmann, Embeddings of braid groups into mapping class groups and their homology, from: "Configuration spaces" (editors A Bjorner, F Cohen, C De Concini, C Procesi, M Salvetti), CRM Series 14, Ed. Norm. (2012) 173 MR3203638
7 K S Brown, The geometry of finitely presented infinite simple groups, from: "Algorithms and classification in combinatorial group theory" (editors G Baumslag, C F Miller), Math. Sci. Res. Inst. Publ. 23, Springer (1992) 121 MR1230631
8 K S Brown, The homology of Richard Thompson’s group F, from: "Topological and asymptotic aspects of group theory" (editors R Grigorchuk, M Mihalik, M Sapir, Z Šunik), Contemp. Math. 394, Amer. Math. Soc. (2006) 47 MR2216705
9 K S Brown, R Geoghegan, An infinite-dimensional torsion-free FP group, Invent. Math. 77 (1984) 367 MR752825
10 K U Bux, M G Fluch, M Marschler, S Witzel, M C B Zaremsky, The braided Thompson’s groups are of type F, J. Reine Angew. Math. 718 (2016) 59 MR3545879
11 P Dehornoy, The group of parenthesized braids, Adv. Math. 205 (2006) 354 MR2258261
12 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
13 L Funar, C Kapoudjian, On a universal mapping class group of genus zero, Geom. Funct. Anal. 14 (2004) 965 MR2105950
14 L Funar, C Kapoudjian, An infinite genus mapping class group and stable cohomology, Comm. Math. Phys. 287 (2009) 784 MR2486661
15 L Funar, Y Neretin, Diffeomorphism groups of tame Cantor sets and Thompson-like groups, Compos. Math. 154 (2018) 1066 MR3798595
16 S Galatius, O Randal-Williams, Homological stability for moduli spaces of high dimensional manifolds, I, J. Amer. Math. Soc. 31 (2018) 215 MR3718454
17 A Genevois, A Lonjou, C Urech, Asymptotically rigid mapping class groups, I : Finiteness properties of braided Thompson’s and Houghton’s groups, Geom. Topol. 26 (2022) 1385 MR4466651
18 É Ghys, V Sergiescu, Sur un groupe remarquable de difféomorphismes du cercle, Comment. Math. Helv. 62 (1987) 185 MR896095
19 J L Harer, Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math. 121 (1985) 215 MR786348
20 A Hatcher, On triangulations of surfaces, Topology Appl. 40 (1991) 189 MR1123262
21 A Hatcher, K Vogtmann, Tethers and homology stability for surfaces, Algebr. Geom. Topol. 17 (2017) 1871 MR3677942
22 A Hatcher, N Wahl, Stabilization for mapping class groups of 3-manifolds, Duke Math. J. 155 (2010) 205 MR2736166
23 G Higman, Finitely presented infinite simple groups, 8, Australian National University (1974) MR376874
24 W van der Kallen, Homology stability for linear groups, Invent. Math. 60 (1980) 269 MR586429
25 M Nakaoka, Homology of the infinite symmetric group, Ann. of Math. 73 (1961) 229 MR131874
26 M Palmer, X Wu, On the homology of big mapping class groups, J. Topol. 17 (2024) MR4806781
27 O Randal-Williams, N Wahl, Homological stability for automorphism groups, Adv. Math. 318 (2017) 534 MR3689750
28 R Skipper, X Wu, Finiteness properties for relatives of braided Higman–Thompson groups, Groups Geom. Dyn. 17 (2023) 1357 MR4641371
29 M Szymik, N Wahl, The homology of the Higman–Thompson groups, Invent. Math. 216 (2019) 445 MR3953508
30 W Thumann, Operad groups and their finiteness properties, Adv. Math. 307 (2017) 417 MR3590523