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The geometry of subgroup embeddings and asymptotic cones

Andy Jarnevic

Algebraic & Geometric Topology 25 (2025) 699–719
Bibliography
1 T Aougab, M G Durham, S J Taylor, Pulling back stability with applications to Out(Fn) and relatively hyperbolic groups, J. Lond. Math. Soc. 96 (2017) 565 MR3742433
2 J A Behrstock, Asymptotic geometry of the mapping class group and Teichmüller space, Geom. Topol. 10 (2006) 1523 MR2255505
3 G R Conner, C Kent, Local topological properties of asymptotic cones of groups, Algebr. Geom. Topol. 14 (2014) 1413 MR3190599
4 L van den Dries, A J Wilkie, Gromov’s theorem on groups of polynomial growth and elementary logic, J. Algebra 89 (1984) 349 MR751150
5 C Druţu, S Mozes, M Sapir, Divergence in lattices in semisimple Lie groups and graphs of groups, Trans. Amer. Math. Soc. 362 (2010) 2451 MR2584607
6 C Druţu, M Sapir, Tree-graded spaces and asymptotic cones of groups, Topology 44 (2005) 959 MR2153979
7 A Genevois, Hyperbolicities in CAT(0) cube complexes, Enseign. Math. 65 (2019) 33 MR4057355
8 M Gromov, Groups of polynomial growth and expanding maps, Inst. Hautes Études Sci. Publ. Math. 53 (1981) 53 MR623534
9 M Gromov, Asymptotic invariants of infinite groups, from: "Geometric group theory, II", Lond. Math. Soc. Lect. Note Ser. 182, Cambridge Univ. Press (1993) 1 MR1253544
10 C Kent, Asymptotic cones of HNN extensions and amalgamated products, Algebr. Geom. Topol. 14 (2014) 551 MR3158768
11 K A Mihailova, The occurrence problem for direct products of groups, Mat. Sb. 70(112) (1966) 241 MR194497
12 A Y Olshansky, On the distortion of subgroups of finitely presented groups, Mat. Sb. 188 (1997) 51 MR1601512
13 P Papasoglu, On the asymptotic cone of groups satisfying a quadratic isoperimetric inequality, J. Differential Geom. 44 (1996) 789 MR1438192
14 T R Riley, Higher connectedness of asymptotic cones, Topology 42 (2003) 1289 MR1981358
15 E Rips, Subgroups of small cancellation groups, Bull. Lond. Math. Soc. 14 (1982) 45 MR642423
16 S Thomas, B Velickovic, Asymptotic cones of finitely generated groups, Bull. Lond. Math. Soc. 32 (2000) 203 MR1734187
17 H C Tran, On strongly quasiconvex subgroups, Geom. Topol. 23 (2019) 1173 MR3956891