Algebraic & Geometric Topology Volume 23, issue 1 (2023)

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Proper $2$–equivalences between infinite ended finitely presented groups

Manuel Cárdenas, Francisco Fernández Lasheras, Antonio Quintero and Ranja Roy

Algebraic & Geometric Topology 23 (2023) 1–11

DOI: 10.2140/agt.2023.23.1

Bibliography

1	H J Baues, A Quintero, Infinite homotopy theory, 6, Kluwer (2001) MR1848146
2	M Cárdenas, F F Lasheras, A Quintero, R Roy, A topological equivalence relation for finitely presented groups, J. Pure Appl. Algebra 224 (2020) 106300 MR4058235
3	M J Dunwoody, The accessibility of finitely presented groups, Invent. Math. 81 (1985) 449 MR807066
4	R Geoghegan, Topological methods in group theory, 243, Springer (2008) MR2365352
5	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
6	F F Lasheras, Ascending HNN-extensions and properly 3–realisable groups, Bull. Austral. Math. Soc. 72 (2005) 187 MR2183402
7	F F Lasheras, R Roy, Relating the Freiheitssatz to the asymptotic behavior of a group, Rev. Mat. Iberoam. 29 (2013) 75 MR3010122
8	R C Lyndon, P E Schupp, Combinatorial group theory, 89, Springer (1977) MR0577064
9	S Mardešić, J Segal, Shape theory, 26, North-Holland (1982) MR676973
10	M L Mihalik, Semistability at ∞, ∞–ended groups and group cohomology, Trans. Amer. Math. Soc. 303 (1987) 479 MR902779
11	M Mihalik, Semistability of graph products, preprint (2020) arXiv:2004.11333
12	M L Mihalik, S T Tschantz, One relator groups are semistable at infinity, Topology 31 (1992) 801 MR1191381
13	M L Mihalik, S T Tschantz, Semistability of amalgamated products and HNN-extensions, 471, Amer. Math. Soc. (1992) MR1110521
14	P Papasoglu, K Whyte, Quasi-isometries between groups with infinitely many ends, Comment. Math. Helv. 77 (2002) 133 MR1898396
15	P Scott, T Wall, Topological methods in group theory, from: "Homological group theory" (editor C T C Wall), London Math. Soc. Lecture Note Ser. 36, Cambridge Univ. Press (1979) 137 MR564422
16	J Stallings, Group theory and three-dimensional manifolds, 4, Yale Univ. Press (1971) MR0415622