Volume 13, issue 3 (2009)

Download this article
For screen
For printing
Recent Issues

Volume 16 (2012)
Issue 1 1–624
Issue 2 625–

Volume 15 (2011) 1–4

Volume 14 (2010) 1–5

Volume 13 (2009) 1–5

Volume 12 (2008) 1–5

Volume 11 (2007)

Volume 10 (2006)

Volume 9 (2005)

Volume 8 (2004)

Volume 7 (2003)

Volume 6 (2002)

Volume 5 (2001)

Volume 4 (2000)

Volume 3 (1999)

Volume 2 (1998)

Volume 1 (1997)

G&T Monographs
The Journal
About the Journal
Editorial Board
Editorial Interests
Author Index
Editorial procedure
Submission Guidelines
Submission Page
Author copyright form
Subscriptions
Contacts
G&T Publications
GTP Author Index

Abelian subgroups of Out(Fn)

Mark Feighn and Michael Handel

Geometry & Topology 13 (2009) 1657–1727

DOI: 10.2140/gt.2009.13.1657

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)" (editors W Abikoff, J S Birman, K Kuiken), Contemp. Math. 169, Amer. Math. Soc. (1994) 45–98 MR1292897
2 M Bestvina, M Feighn, M Handel, The Tits alternative for Out(Fn). I. Dynamics of exponentially-growing automorphisms, Ann. of Math. (2) 151 (2000) 517–623 MR1765705
3 M Bestvina, M Feighn, M Handel, Solvable subgroups of Out(Fn) are virtually Abelian, Geom. Dedicata 104 (2004) 71–96 MR2043955
4 M Bestvina, M Handel, Train tracks and automorphisms of free groups, Ann. of Math. (2) 135 (1992) 1–51 MR1147956
5 D Cooper, Automorphisms of free groups have finitely generated fixed point sets, J. Algebra 111 (1987) 453–456 MR916179
6 M Culler, Finite groups of outer automorphisms of a free group, from: "Contributions to group theory" (editors K I Appel, J G Ratcliffe, P E Schupp), Contemp. Math. 33, Amer. Math. Soc. (1984) 197–207 MR767107
7 M Culler, K Vogtmann, Moduli of graphs and automorphisms of free groups, Invent. Math. 84 (1986) 91–119 MR830040
8 B Farb, M Handel, Commensurations of Out(Fn), Publ. Math. Inst. Hautes Études Sci. (2007) 1–48 MR2354204
9 A Fathi, L Laudenbach, V Poénaru, editors, Travaux de Thurston sur les surfaces, Astérisque 66, Soc. Math. France (1979) 284 MR568308 Séminaire Orsay, with an English summary
10 M. Feighn, M Handel, The recognition theorem for \Out(Fn), Preprint
11 J Franks, M Handel, K Parwani, Fixed points of abelian actions, J. Mod. Dyn. 1 (2007) 443–464 MR2318498
12 J Franks, M Handel, K Parwani, Fixed points of abelian actions on S2, Ergodic Theory Dynam. Systems 27 (2007) 1557–1581 MR2358978
13 D Gaboriau, A Jaeger, G Levitt, M Lustig, An index for counting fixed points of automorphisms of free groups, Duke Math. J. 93 (1998) 425–452 MR1626723
14 G Levitt, M Lustig, Most automorphisms of a hyperbolic group have very simple dynamics, Ann. Sci. École Norm. Sup. (4) 33 (2000) 507–517 MR1832822
15 G Levitt, M Lustig, Automorphisms of free groups have asymptotically periodic dynamics, J. Reine Angew. Math. 619 (2008) 1–36 MR2414945
16 J Nielsen, Die Isomorphismengruppe der freien Gruppen, Math. Ann. 91 (1924) 169–209 MR1512188
17 W P Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. (N.S.) 19 (1988) 417–431 MR956596