Algebraic & Geometric Topology Volume 12, issue 2 (2012)

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Free group automorphisms with parabolic boundary orbits

Arnaud Hilion

Algebraic & Geometric Topology 12 (2012) 933–950

DOI: 10.2140/agt.2012.12.933

Bibliography

1	M Bestvina, M Feighn, M Handel, The Tits alternative for Out(F_n) I : Dynamics of exponentially-growing automorphisms, Ann. of Math. 151 (2000) 517 MR1765705
2	M Bestvina, M Handel, Train tracks and automorphisms of free groups, Ann. of Math. 135 (1992) 1 MR1147956
3	M M Cohen, M Lustig, On the dynamics and the fixed subgroup of a free group automorphism, Invent. Math. 96 (1989) 613 MR996557
4	D Cooper, Automorphisms of free groups have finitely generated fixed point sets, J. Algebra 111 (1987) 453 MR916179
5	M Feighn, M Handel, The recognition theorem for Out(F_n), Groups Geom. Dyn. 5 (2011) 39 MR2763779
6	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 MR1626723
7	É Ghys, P de la Harpe, editors, Sur les groupes hyperboliques d’après Mikhael Gromov, 83, Birkhäuser (1990) MR1086648
8	M Handel, L Mosher, Subgroup classification in Out(F_n) arXiv:0908.1255
9	M Handel, W P Thurston, New proofs of some results of Nielsen, Adv. in Math. 56 (1985) 173 MR788938
10	A Hilion, Dynamique des automorphismes des groupes libres, PhD thesis, Université Toulouse 3 (2004)
11	G Levitt, Homéomorphismes dynamiquement simples de l’ensemble de Cantor, Enseign. Math. 44 (1998) 279 MR1659216
12	G Levitt, Counting growth types of automorphisms of free groups, Geom. Funct. Anal. 19 (2009) 1119 MR2570318
13	G Levitt, M Lustig, Most automorphisms of a hyperbolic group have very simple dynamics, Ann. Sci. École Norm. Sup. 33 (2000) 507 MR1832822
14	G Levitt, M Lustig, Periodic ends, growth rates, Hölder dynamics for automorphisms of free groups, Comment. Math. Helv. 75 (2000) 415 MR1793796
15	G Levitt, M Lustig, Irreducible automorphisms of F_n have north-south dynamics on compactified outer space, J. Inst. Math. Jussieu 2 (2003) 59 MR1955207
16	G Levitt, M Lustig, Automorphisms of free groups have asymptotically periodic dynamics, J. Reine Angew. Math. 619 (2008) 1 MR2414945
17	O S Maslakova, The fixed point group of a free group automorphism, Algebra Logika 42 (2003) 422, 510 MR2017513
18	J Nielsen, Die Isomorphismen der allgemeinen, unendlichen Gruppe mit zwei Erzeugenden, Math. Ann. 78 (1917) 385 MR1511907
19	J Nielsen, Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen, Acta Math. 50 (1927) 189 MR1555256
20	J Nielsen, Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen. II, Acta Math. 53 (1929) 1 MR1555290
21	J Nielsen, Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen. III, Acta Math. 58 (1932) 87 MR1555345