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Special cube complexes (based on lectures of Piotr Przytycki)

Published online by Cambridge University Press:  11 October 2017

Peter H. Kropholler
Affiliation:
University of Southampton
Ian J. Leary
Affiliation:
University of Southampton
Conchita Martínez-Pérez
Affiliation:
Universidad de Zaragoza
Brita E. A. Nucinkis
Affiliation:
Royal Holloway, University of London
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Publisher: Cambridge University Press
Print publication year: 2017

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References

[1] Ian, Agol. The virtual Haken conjecture. Doc. Math., 18:1045–1087, 2013. With an appendix by Agol, Daniel Groves, and Jason Manning.
[2] M., Bestvina and M., Feighn. A combination theorem for negatively curved groups. J. Differential Geom., 35(1):85–101, 1992.
[3] M.R., Bridson and A., Haefliger. Metric spaces of non-positive curvature, volume 319 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, Berlin, 1999.
[4] Martin R., Bridson and Simon M., Salamon, editors. Invitations to Geometry and Topology. Oxford Graduate Texts in Mathematics 7, October 978.
[5] R., Gitik, M., Mitra, E., Rips, and M., Sageev. Widths of Subgroups. Trans. Amer. Math. Soc., 350(1):321–329, 1998.
[6] F., Haglund and D.T., Wise. Special cube complexes. Geom. Funct. Anal., 17(5):1551–1620, 2008.
[7] F., Haglund and D.T., Wise. A combination theorem for special cube complexes. Ann. of Math. (2), 176(3):1427–1482, 2012.
[8] K., Jankiewicz. Greendlinger's Lemma in cubical small cancellation theory. arXiv:1401.4995 [math], January 2014.
[9] Roger C., Lyndon and Paul E., Schupp. Combinatorial group theory. Classics in Mathematics. Springer-Verlag, Berlin, 2001. Reprint of the 1977 edition.
[10] P., Przytycki and D., Wise. Mixed 3-manifolds are virtually special. arXiv:1205.6742 [math], May 2012. arXiv: 1205.6742.
[11] D., Wise. The Structure of Groups with a Quasiconvex Hierarchy. 2011.
[12] Daniel T., Wise. The residual finiteness of negatively curved polygons of finite groups. Invent. Math., 149(3):579–617, 2002.
[13] Daniel T., Wise. From riches to raags: 3-manifolds, right-angled Artin groups, and cubical geometry, volume 117 of CBMS Regional Conference Series in Mathematics. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2012.

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