Algebraic & Geometric Topology Volume 7, issue 4 (2007)

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

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

Pseudo-Anosov homeomorphisms and the lower central series of a surface group

Justin Malestein

Algebraic & Geometric Topology 7 (2007) 1921–1948

DOI: 10.2140/agt.2007.7.1921

Bibliography

1	H Bass, A Lubotzky, Linear-central filtrations on groups, from: "The mathematical legacy of Wilhelm Magnus: groups, geometry and special functions (Brooklyn, NY, 1992)", Contemp. Math. 169, Amer. Math. Soc. (1994) 45 MR1292897
2	M Bestvina, M Handel, Train-tracks for surface homeomorphisms, Topology 34 (1995) 109 MR1308491
3	P Brinkmann, XTrain
4	N Broaddus, B Farb, A Putman, Irreducible Sp–representations and subgroup distortion in the mapping class group, preprint
5	A J Casson, S A Bleiler, Automorphisms of surfaces after Nielsen and Thurston, London Math. Soc. Student Texts 9, Cambridge University Press (1988) MR964685
6	B Farb, C Leininger, D Margalit, The lower central series and pseudo-Anosov dilatations arXiv:math.GT/0603675
7	B Farb, D Margalit, A primer on mapping class groups, in preparation
8	A Fathi, F Laudenbach, V Poenaru, Travaux de Thurston sur les surfaces, Astérisque 66, Société Mathématique de France (1979) 284 MR568308
9	N V Ivanov, Subgroups of Teichmüller modular groups, Translations of Mathematical Monographs 115, Amer. Math. Soc. (1992) MR1195787
10	D Johnson, An abelian quotient of the mapping class group $\cal{I}_{g}$, Math. Ann. 249 (1980) 225 MR579103
11	W Magnus, A Karrass, D Solitar, Combinatorial group theory: Presentations of groups in terms of generators and relations, Interscience Publishers (John Wiley & Sons) (1966) MR0207802
12	S Morita, On the structure of the Torelli group and the Casson invariant, Topology 30 (1991) 603 MR1133875
13	S Morita, Abelian quotients of subgroups of the mapping class group of surfaces, Duke Math. J. 70 (1993) 699 MR1224104
14	S Morita, The extension of Johnson's homomorphism from the Torelli group to the mapping class group, Invent. Math. 111 (1993) 197 MR1193604
15	S Morita, Structure of the mapping class groups of surfaces: a survey and a prospect, from: "Proceedings of the Kirbyfest (Berkeley, CA, 1998)" (editors J Hass, M Scharlemann), Geom. Topol. Monogr. 2 (1999) 349 MR1734418
16	R C Penner, A construction of pseudo-Anosov homeomorphisms, Trans. Amer. Math. Soc. 310 (1988) 179 MR930079
17	C Reutenauer, Free Lie algebras, London Math. Soc. Monographs, New Series 7, Oxford University Press (1993) MR1231799
18	W P Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. $($N.S.$)$ 19 (1988) 417 MR956596