Các đa tạp hyperbolic 3 chiều hữu tích volume là gần như được xác định bởi các nhóm thương lượng hữu hạn của chúng

Agol, I.: Criteria for virtual fibering. J. Topol. 1(2), 269–284 (2008) Agol, I.: The virtual Haken conjecture, with an appendix by I. Agol, D. Groves, J. Manning. Documenta Math. 18, 1045–1087 (2013) Agol, I., Groves, D., Manning, J.F.: An alternate proof of Wise’s malnormal special quotient theorem. Forum Math. Pi 4, e1-54 (2016) Aka, M.: Profinite completions and Kazhdan’s Property T. Groups Geom. Dyn. 6, 221–229 (2012) Aka, M.: Arithmetic groups with isomorphic finite quotients. J. Algebr. 352, 322–340 (2012) Arnoux, P., Yoccoz, J.-C.: Construction de difféomorphismes pseudo-Anosov. C. R. Acad. Sci. Paris Sér. I Math. 292, 75–78 (1981) Aschenbrenner, M., Friedl, S., Wilton, H.: 3-Manifold Groups, EMS Series of Lectures in Mathematics, (2015) Boileau, M., Friedl, S.: The profinite completion of 3-manifold groups, fiberedness and the Thurston norm. In: What’s Next? — The Mathematical Legacy of William P. Thurston, pp. 21–44, Ann. of Math. Stud., 205, Princeton Univ. Press, Princeton, NJ, (2020) Boileau, M., Maillot, S., Porti, J.: Three-Dimensional Orbifolds and Their Geometric Structures. Panoramas et Synthèses [Panoramas and Syntheses], 15. Société Mathématique de France, Paris, (2003) Bridson, M.R., Condor, M.D.E., Reid, A.W.: Determining Fuchsian groups by their finite quotients. Israel J. Math. 214, 1–41 (2016) Bridson, M.R., Reid, A. W.: Profinite rigidity, fibering and the figure-eight knot, In What’s Next? : The Mathematical Legacy of William P. Thurston, Annals. Math. Stud. 205, Princeton Univ. Press, Princeton, NJ, pp. 45–64 (2020) Bridson, M.R., McReynolds, D.B., Reid, A.W., Spitler, R.: Absolute profinite rigidity and hyperbolic geometry. Ann. Math. (2) 192(3), 679–719 (2020) Bridson, M.R., Reid, A.W., Wilton, H.: Profinite rigidity and surface bundles over the circle. Bull. Lond. Math. Soc. 49, 831–841 (2017) Brown, K.S.: Cohomology of Groups. Springer-Verlag, New York (1982) Cooper, D., Long, D.D., Reid, A.W.: Essential closed surfaces in bounded 3-manifolds. J. Am. Math. Soc. 10, 553–563 (1997) Crawley-Boevey, W.W., Kropholler, P.H., Linnell, P.A.: Torsion-free soluble groups, completions, and the zero divisor conjecture. J. Pure Appl. Algebr. 54, 181–196 (1988) Farb, B., Margalit, D.: A Primer on Mapping Class Groups. Princeton Mathematical Series, vol. 49. Princeton University Press, Princeton, NJ (2012) Fathi, A., Laudenbach, F., Poénaru, V.: Thurston’s Work on Surfaces. Translated from the 1979 French original by D. M. Kim and D. Margalit. Princeton University Press, Princeton, NJ, (2012) Fried, D.: The geometry of cross sections to flows. Topol. 21, 353–371 (1982) Fried, D.: Flow equivalence, hyperbolic systems, and a new zeta function. Comment. Math. Helvitici 57, 237–259 (1986) Fried, D.: Cyclic resultants of reciprocal polynomials. In Holomorphic Dynamics: Proceedings of the Second International Colloquium on Dynamical Systems held in Mexico, July 1986, pp. 124–128, Lecture Notes in Math., 1345, Springer-Verlag, Berlin, (1988) Friedl, S., Kim, T.: The Thurston norm, fibered manifolds and twisted Alexander polynomials. Topology 45, 929–953 (2006) Friedl, S., Vidussi, S.: A survey of twisted Alexander polynomials. In: The Mathematics of Knots, pp. 45–94, Contrib. Math. Comput. Sci. 1, Springer, Heidelberg, (2011) Friedl, S., Vidussi, S.: A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds. J. Eur. Math. Soc. 15, 2027–2041 (2013) Funar, L.: Torus bundles not distinguished by TQFT invariants. Geom. Topol. 17, 2289–2344 (2013) Gabai, D.: Foliations and the topology of \(3\)-manifolds. J. Differential Geom. 18(3), 445–503 (1983) Groves, D., Manning, J.F.: Dehn filling in relatively hyperbolic groups. Israel J. Math. 168, 317–429 (2008) Haglund, F., Wise, D.T.: Special cube complexes. Geom. Funct. Anal. 17, 1551–1620 (2008) Hamilton, E., Wilton, H., Zalesskii, P.A.: Separability of double cosets and conjugacy classes in 3-manifold groups. J. Lond. Math. Soc. (2) 87, 269–288 (2013) Hilton, P. J., Stammbach, U.: A Course in Homological Algebra. Second edition. Graduate Texts in Mathematics, 4. Springer-Verlag, New York (1997) Hempel, J.: Some 3-manifold groups with the same finite quotients, preprint 2014, 10 pages: arXiv:1409.3509v2 Ivanov, N.V.: Coefficients of expansion of pseudo-Anosov homeomorphisms, (Russian, English summary), Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 167 (1988), Issled. Topol. 6, 111–116, 191; English translation in J. Soviet Math. 52 (1990), 2819–2822 Jaikin-Zapirain, A.: Recogniton of being fibred for compact 3-manifolds. Geom. Topol. 24(1), 409–420 (2020) Jiang, B.: Lectures on Nielsen Fixed Point Theory, Contemp. Math. 14, Amer. Math. Soc., Province, RI, (1983) Jiang, B.: Estimation of the number of periodic orbits. Pacific J. Math. 172, 151–185 (1996) Kitano, T., Suzuki, M., Wada, M.: Twisted Alexander polynomials and surjectivity of a group homomorphism. Algebr. Geom. Topol. 5, 1315–1324 (2005) Liu, Y.: Virtual cubulation of nonpositively curved graph manifolds. J. Topol. 6(4), 793–822 (2013) Liu, Y.: Mapping classes are almost determined by their finite quotient actions, Duke Math. J., to appear, (2022); preprint available at: arxiv:1906.03602v3 Liu, Y.: Virtual homological spectral radii for automorphisms of surfaces. J. Am. Math. Soc. 33(4), 1167–1227 (2020) Minasyan, A.: Hereditary conjugacy separability of right angled Artin groups and its applications. Groups Geom. Dyn. 6, 335–388 (2012) Nikolov, N., Segal, D.: On finitely generated profinite groups. I. Strong completeness and uniform bounds. Ann. Math. (2) 165, 171–238 (2007) Pickel, P.F.: Finitely generated nilpotent groups with isomorphic finite quotients. Trans. Am. Math. Soc. 160, 327–341 (1971) Pickel, P.F.: Nilpotent-by-finite groups with isomorphic finite quotients. Trans. Am. Math. Soc. 183, 313–325 (1973) Pickel, P.F.: Metabelian groups with the same finite quotients. Bull. Austral. Math. Soc. 11, 115–120 (1974) Przytycki, P., Wise, D.: Graph manifolds with boundary are virtually special. J. Topol. 7(2), 419–435 (2014) Przytycki, P., Wise, D.: Mixed \(3\)-manifolds are virtually special. J. Am. Math. Soc. 31, 319–347 (2018) Reid, A. W.: Profinite properties of discrete groups. In: Groups St Andrews 2013, Vol. 422. London Math. Soc. Lecture Note Ser. Cambridge Univ. Press, Cambridge, pp. 73–104 (2015) Reid, A. W.: Profinite rigidity. In: Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018. Vol. II. Invited lectures, pp. 1193–1216, World Sci. Publ., Hackensack, NJ, (2018) Remeslennikov, V.N.: Conjugacy of subgroups in nilpotent groups (Russian). Algebra i Logika Sem. 6(2), 61–76 (1967) Ribes, L., Zalesskii, P.A.: Profinite Groups, 2nd edn. Springer-Verlag, Berlin (2010) Serre, J.-P.: Linear Representations of Finite Groups. Translated from the second French edition by Leonard L. Scott. Springer-Verlag, New York-Heidelberg (1977) Serre, J.-P.: Galois Cohomology, Translated from the French by Patrick Ion and revised by the author. Corrected reprint of the 1997 English edition. Springer-Verlag, Berlin, 2002 Silver, D.S., Whitten, W.: Knot group epimorphisms. J. Knot Theory Ramifications 15, 153–166 (2006) Stallings, J.: On fibering certain 3-manifolds. In Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961), pp. 95–100. Prentice-Hall, Englewood Cliffs, N.J., (1962) Stebe, P.F.: Conjugacy separability of groups of integer matrices. Proc. Am. Math. Soc. 32, 1–7 (1972) Thurston, W.P.: A norm for the homology of 3-manifolds. Mem. Am. Math. Soc. 59(339), 99–130 (1986) Turaev, V.: Introduction to Combinatorial Torsions. Birkhäuser, Basel (2001) Ueki, J.: The profinite completions of knot groups determine the Alexander polynomials. Algebr. Geom. Topol. 18, 3013–3030 (2018) Wilkes, G.: Profinite rigidity for Seifert fibre spaces. Geom. Dedicata 188, 141–163 (2017) Wilkes, G.: Profinite rigidity of graph manifolds and JSJ decompositions of 3-manifolds. J. Algebra 502, 538–587 (2018) Wilkes, G.: Profinite rigidity of graph manifolds, II: Knots and mapping classes. Israel J. Math. 233, 351–378 (2019) Wilton, H., Zalesskii, P.A.: Profinite properties of graph manifolds. Geom. Dedicata 147, 29–45 (2010) Wilton, H., Zalesskii, P.A.: Distinguishing geometries using finite quotients. Geom. Topol. 21, 345–384 (2017) Wilton, H., Zalesskii, P.A.: Profinite detection of 3-manifold decompositions. Compos. Math. 155(2), 246–259 (2019) Wise, D.: From Riches to Raags: \(3\)-Manifolds, Right-Angled Artin Groups, and Cubical Geometry, CBMS Regional Conference Series in Mathematics, 117. American Mathematical Society, Providence, RI (2012) Wise, D.: The structure of groups with a quasi-convex hierarchy, 189 pages, 2012 preprint available at: http://www.math.mcgill.ca/wise/papers.html Zimmermann, B.: Finite group actions on Haken 3-manifolds. Quart. J. Math. Oxford Ser. (2) 37(148), 499–511 (1986)