Download this article
 Download this article For screen
For printing
Recent Issues

Volume 26
Issue 5, 1597–1963
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
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