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Examples of groups whose automorphisms have exotic growth

Rémi Coulon

Algebraic & Geometric Topology 22 (2022) 1497–1510
Bibliography
1 I Agol, The virtual Haken conjecture, Doc. Math. 18 (2013) 1045 MR3104553
2 I Belegradek, D Osin, Rips construction and Kazhdan property (T), Groups Geom. Dyn. 2 (2008) 1 MR2367206
3 M Bestvina, M Handel, Train tracks and automorphisms of free groups, Ann. of Math. 135 (1992) 1 MR1147956
4 M R Bridson, Fractional isoperimetric inequalities and subgroup distortion, J. Amer. Math. Soc. 12 (1999) 1103 MR1678924
5 M R Bridson, A Haefliger, Metric spaces of non-positive curvature, 319, Springer (1999) MR1744486
6 I Bumagin, D T Wise, Every group is an outer automorphism group of a finitely generated group, J. Pure Appl. Algebra 200 (2005) 137 MR2142354
7 M Coornaert, T Delzant, A Papadopoulos, Géométrie et théorie des groupes : les groupes hyperboliques de Gromov, 1441, Springer (1990) MR1075994
8 R Coulon, A Hilion, C Horbez, G Levitt, Growth of automorphisms of hyperbolic groups, in preparation
9 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
10 S Francaviglia, A Martino, Metric properties of outer space, Publ. Mat. 55 (2011) 433 MR2839451
11 É Ghys, P de la Harpe, editors, Sur les groupes hyperboliques d’après Mikhael Gromov, 83, Birkhäuser (1990) MR1086648
12 M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
13 M Gromov, Asymptotic invariants of infinite groups, from: "Geometric group theory, II" (editors G A Niblo, M A Roller), Lond. Math. Soc. Lect. Note Ser. 182, Cambridge Univ. Press (1993) 1 MR1253544
14 F Haglund, D T Wise, Special cube complexes, Geom. Funct. Anal. 17 (2008) 1551 MR2377497
15 G Levitt, Counting growth types of automorphisms of free groups, Geom. Funct. Anal. 19 (2009) 1119 MR2570318
16 T Matumoto, Any group is represented by an outerautomorphism group, Hiroshima Math. J. 19 (1989) 209 MR1009671
17 S Meinert, The Lipschitz metric on deformation spaces of G–trees, Algebr. Geom. Topol. 15 (2015) 987 MR3342683
18 A Minasyan, Groups with finitely many conjugacy classes and their automorphisms, Comment. Math. Helv. 84 (2009) 259 MR2495795
19 A Y Olshanskii, On subgroup distortion in finitely presented groups, Mat. Sb. 188 (1997) 51 MR1601512
20 A Y Olshanskii, Distortion functions for subgroups, from: "Geometric group theory down under" (editors J Cossey, W D Neumann, M Shapiro), de Gruyter (1999) 281 MR1714850
21 E Rips, Subgroups of small cancellation groups, Bull. Lond. Math. Soc. 14 (1982) 45 MR642423
22 W P Thurston, Minimal stretch maps between hyperbolic surfaces, preprint (1986) arXiv:math/9801039
23 D T Wise, A residually finite version of Rips’s construction, Bull. Lond. Math. Soc. 35 (2003) 23 MR1934427
24 D T Wise, Cubulating small cancellation groups, Geom. Funct. Anal. 14 (2004) 150 MR2053602
25 D T Wise, From riches to raags : 3–manifolds, right-angled Artin groups, and cubical geometry, 117, Amer. Math. Sci. (2012) MR2986461