Volume 13, issue 5 (2013)

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Induced quasicocycles on groups with hyperbolically embedded subgroups

Michael Hull and Denis Osin

Algebraic & Geometric Topology 13 (2013) 2635–2665
Bibliography
1 C Bavard, Longueur stable des commutateurs, Enseign. Math. 37 (1991) 109 MR1115747
2 M Bestvina, K Bromberg, K Fujiwara, Bounded cohomology via quasi-trees arXiv:1306.1542
3 M Bestvina, M Feighn, A hyperbolic $\mathrm{Out}(F_n)$–complex, Groups Geom. Dyn. 4 (2010) 31 MR2566300
4 M Bestvina, K Fujiwara, Bounded cohomology of subgroups of mapping class groups, Geom. Topol. 6 (2002) 69 MR1914565
5 B H Bowditch, Relatively hyperbolic groups, Internat. J. Algebra Comput. 22 (2012) 1250016, 66 MR2922380
6 R Brooks, Some remarks on bounded cohomology, from: "Riemann surfaces and related topics" (editors I Kra, B Maskit), Ann. of Math. Stud. 97, Princeton Univ. Press (1981) 53 MR624804
7 D Calegari, scl, MSJ Memoirs 20, Mathematical Society of Japan (2009) MR2527432
8 D Calegari, K Fujiwara, Stable commutator length in word-hyperbolic groups, Groups Geom. Dyn. 4 (2010) 59 MR2566301
9 I Chifan, T Sinclair, On the structural theory of ${\mathrm{II}}_1$ factors of negatively curved groups, Ann. Sci. Éc. Norm. Supér. (4) 46 (2013) 1
10 F Dahmani, V Guirardel, D Osin, Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces arXiv:1111.7048
11 D B A Epstein, K Fujiwara, The second bounded cohomology of word-hyperbolic groups, Topology 36 (1997) 1275 MR1452851
12 L Fuchs, Abelian groups, Publishing House of the Hungarian Academy of Sciences, Budapest (1958) 367 MR0106942
13 U Hamenstädt, Lines of minima in outer space arXiv:0911.3620
14 U Hamenstädt, Bounded cohomology and isometry groups of hyperbolic spaces, J. Eur. Math. Soc. $($JEMS$)$ 10 (2008) 315 MR2390326
15 U Hamenstädt, Isometry groups of proper CAT(0)–spaces of rank one, Groups Geom. Dyn. 6 (2012) 579 MR2961285
16 R C Lyndon, P E Schupp, Combinatorial group theory, Ergeb. Math. Grenzgeb. 89, Springer (1977) MR0577064
17 I Mineyev, N Monod, Y Shalom, Ideal bicombings for hyperbolic groups and applications, Topology 43 (2004) 1319 MR2081428
18 N Monod, Continuous bounded cohomology of locally compact groups, Lecture Notes in Mathematics 1758, Springer (2001) MR1840942
19 N Monod, An invitation to bounded cohomology, from: "Proc. ICM, Vol. II" (editors M Sanz-Solé, J Soria, J L Varona, J Verdera), Eur. Math. Soc., Zürich (2006) 1183 MR2275641
20 N Monod, Y Shalom, Negative curvature from a cohomological viewpoint and cocycle superrigidity, C. R. Math. Acad. Sci. Paris 337 (2003) 635 MR2030102
21 N Monod, Y Shalom, Orbit equivalence rigidity and bounded cohomology, Ann. of Math. 164 (2006) 825 MR2259246
22 D V Osin, Elementary subgroups of relatively hyperbolic groups and bounded generation, Internat. J. Algebra Comput. 16 (2006) 99 MR2217644
23 D Osin, Small cancellations over relatively hyperbolic groups and embedding theorems, Ann. of Math. 172 (2010) 1 MR2680416
24 S Popa, Deformation and rigidity for group actions and von Neumann algebras, from: "Proc ICM, Vol. I" (editors M Sanz-Solé, J Soria, J L Varona, J Verdera), Eur. Math. Soc., Zürich (2007) 445 MR2334200
25 A Sisto, Contracting elements and random walks arXiv:1112.2666
26 A Thom, Low degree bounded cohomology and $L^2$–invariants for negatively curved groups, Groups Geom. Dyn. 3 (2009) 343 MR2486803