Book contents
- Frontmatter
- Contents
- List of Participants
- Preface
- Obstructions for subgroups of Thompson's group V
- Groups of homological dimension one
- Braided diagram groups and local similarity groups
- On Thompson's group T and algebraic K-theory
- Special cube complexes (based on lectures of Piotr Przytycki)
- A hyperbolic group with a finitely presented subgroup that is not of type FP3
- The structure of Euclidean Artin groups
- Finitely presented groups associated with expanding maps
- On characteristic modules of groups
- Controlled algebra for simplicial rings and algebraic K-theory
- References
Special cube complexes (based on lectures of Piotr Przytycki)
Published online by Cambridge University Press: 11 October 2017
Book contents
- Frontmatter
- Contents
- List of Participants
- Preface
- Obstructions for subgroups of Thompson's group V
- Groups of homological dimension one
- Braided diagram groups and local similarity groups
- On Thompson's group T and algebraic K-theory
- Special cube complexes (based on lectures of Piotr Przytycki)
- A hyperbolic group with a finitely presented subgroup that is not of type FP3
- The structure of Euclidean Artin groups
- Finitely presented groups associated with expanding maps
- On characteristic modules of groups
- Controlled algebra for simplicial rings and algebraic K-theory
- References
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Geometric and Cohomological Group Theory , pp. 46 - 66Publisher: Cambridge University PressPrint publication year: 2017
References
[1] . The virtual Haken conjecture. Doc. Math., 18:1045–1087, 2013. With an appendix by Agol, Daniel Groves, and Jason Manning.
[2] and . A combination theorem for negatively curved groups. J. Differential Geom., 35(1):85–101, 1992.
[3] and . Metric spaces of non-positive curvature, volume 319 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, Berlin, 1999.
[4] and , editors. Invitations to Geometry and Topology. Oxford Graduate Texts in Mathematics 7, October 978.
[5] , , , and . Widths of Subgroups. Trans. Amer. Math. Soc., 350(1):321–329, 1998.
[6] and . Special cube complexes. Geom. Funct. Anal., 17(5):1551–1620, 2008.
[7] and . A combination theorem for special cube complexes. Ann. of Math. (2), 176(3):1427–1482, 2012.
[8] . Greendlinger's Lemma in cubical small cancellation theory. arXiv:1401.4995 [math], January 2014.
[9] and . Combinatorial group theory. Classics in Mathematics. Springer-Verlag, Berlin, 2001. Reprint of the 1977 edition.
[10] and . Mixed 3-manifolds are virtually special. arXiv:1205.6742 [math], May 2012. arXiv: 1205.6742.
[11] . The Structure of Groups with a Quasiconvex Hierarchy. 2011.
[12] . The residual finiteness of negatively curved polygons of finite groups. Invent. Math., 149(3):579–617, 2002.
[13] . 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.
- 1
- Cited by