Algebraic & Geometric Topology Volume 16, issue 1 (2016)

Download this article
	For screen
	For printing

Recent 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

On $p$–almost direct products and residual properties of pure braid groups of nonorientable surfaces

Paolo Bellingeri and Sylvain Gervais

Algebraic & Geometric Topology 16 (2016) 547–568

DOI: 10.2140/agt.2016.16.547

Bibliography

1	V G Bardakov, P Bellingeri, On residual properties of pure braid groups of closed surfaces, Comm. Algebra 37 (2009) 1481 MR2526317
2	B Baumslag, Residually free groups, Proc. London Math. Soc. 17 (1967) 402 MR0215903
3	G Baumslag, On generalised free products, Math. Z. 78 (1962) 423 MR0140562
4	P Bellingeri, On presentations of surface braid groups, J. Algebra 274 (2004) 543 MR2043362
5	P Bellingeri, L Funar, Braids on surfaces and finite type invariants, C. R. Math. Acad. Sci. Paris 338 (2004) 157 MR2038286
6	P Bellingeri, S Gervais, J Guaschi, Lower central series of Artin–Tits and surface braid groups, J. Algebra 319 (2008) 1409 MR2383053
7	P Bellingeri, E Godelle, J Guaschi, Exact sequences, lower central series and representations of surface braid groups, preprint (2011) arXiv:1106.4982
8	R Botto Mura, A Rhemtulla, Orderable groups, 27, Marcel Dekker (1977) MR0491396
9	J van Buskirk, Braid groups of compact 2–manifolds with elements of finite order, Trans. Amer. Math. Soc. 122 (1966) 81 MR0189013
10	K T Chen, Extension of C^∞ function algebra by integrals and Malcev completion of π₁, Advances in Math. 23 (1977) 181 MR0458461
11	E Fadell, L Neuwirth, Configuration spaces, Math. Scand. 10 (1962) 111 MR0141126
12	M Falk, R Randell, The lower central series of a fiber-type arrangement, Invent. Math. 82 (1985) 77 MR808110
13	S Garoufalidis, J Levine, Finite type 3–manifold invariants and the structure of the Torelli group, I, Invent. Math. 131 (1998) 541 MR1614551
14	D L Gonçalves, J Guaschi, On the structure of surface pure braid groups, J. Pure Appl. Algebra 186 (2004) 187 MR2025598
15	D L Gonçalves, J Guaschi, The braid groups of the projective plane and the Fadell–Neuwirth short exact sequence, Geom. Dedicata 130 (2007) 93 MR2365780
16	D L Gonçalves, J Guaschi, Braid groups of non-orientable surfaces and the Fadell–Neuwirth short exact sequence, J. Pure Appl. Algebra 214 (2010) 667 MR2577674
17	J González-Meneses, Ordering pure braid groups on compact, connected surfaces, Pacific J. Math. 203 (2002) 369 MR1897904
18	J González-Meneses, L Paris, Vassiliev invariants for braids on surfaces, Trans. Amer. Math. Soc. 356 (2004) 219 MR2020030
19	K W Gruenberg, Residual properties of infinite soluble groups, Proc. London Math. Soc. 7 (1957) 29 MR0087652
20	J Guaschi, D Juan-Pineda, A survey of surface braid groups and the lower algebraic K–theory of their group rings, from: "Handbook of group actions, Vol. II" (editors L Ji, A Papadopoulos, S T Yau), Adv. Lect. Math. 32, Int. Press (2015) 23 MR3382024
21	B Hartley, On residually finite p–groups, from: "Convegno sui Gruppi Infiniti, INDAM, Roma, 1973", Symposia Mathematica 17, Academic Press (1976) 225 MR0419611
22	D L Johnson, Presentations of groups, 22, Cambridge Univ. Press (1976) MR0396763
23	G Levitt, A Minasyan, Residual properties of automorphism groups of (relatively) hyperbolic groups, Geom. Topol. 18 (2014) 2985 MR3285227
24	W Magnus, A Karrass, D Solitar, Combinatorial group theory, Dover (1976) MR0422434
25	Ş Papadima, The universal finite-type invariant for braids, with integer coefficients, Topology Appl. 118 (2002) 169 MR1877723
26	L Paris, Residual p properties of mapping class groups and surface groups, Trans. Amer. Math. Soc. 361 (2009) 2487 MR2471926
27	L Paris, B Szepietowski, A presentation for the mapping class group of a nonorientable surface, Bull. Soc. Math. France 143 (2015) 503 MR3417732
28	G P Scott, Braid groups and the group of homeomorphisms of a surface, Proc. Cambridge Philos. Soc. 68 (1970) 605 MR0268889
29	M Stukow, Commensurability of geometric subgroups of mapping class groups, Geom. Dedicata 143 (2009) 117 MR2576298
30	B Szepietowski, Embedding the braid group in mapping class groups, Publ. Mat. 54 (2010) 359 MR2675928
31	B Szepietowski, Crosscap slides and the level 2 mapping class group of a nonorientable surface, Geom. Dedicata 160 (2012) 169 MR2970047
32	H Zieschang, E Vogt, H D Coldewey, Surfaces and planar discontinuous groups, 835, Springer (1980) MR606743