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
Finitely presented groups associated with expanding maps
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
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- Geometric and Cohomological Group Theory , pp. 115 - 171Publisher: Cambridge University PressPrint publication year: 2017
References
[BGN03] , , and , From fractal groups to fractal sets, Fractals in Graz 2001. Analysis – Dynamics – Geometry – Stochastics (Peter Grabner and Wolfgang Woess, eds.), Birkhäuser Verlag, Basel, Boston, Berlin, 2003, pp. 25–118.
[BGŠ03] , , and , , Handbook of Algebra, Vol. 3, North-Holland, Amsterdam, 2003, pp. 989–1112.
[BN08] and , Iterated monodromy groups of quadratic polynomials I, Groups, Geometry, and Dynamics 2 (2008), no. 3, 309–336.
[Bro87] , Finiteness properties of groups, Proceedings of the Northwestern conference on cohomology of groups (Evanston, Ill., 1985), vol. 44, 1987, pp. 45–75.
[CFP96] , , and , Introductory notes on Richard Thompson groups, L'Enseignement Mathematique 42 (1996), no. 2, 215–256.
[CP93] and , Symbolic dynamics and hyperbolic groups, Lecture Notes in Mathematics, vol. 1539, Springer Verlag, 1993.
[Cun77] , Simple C*-algebras generated by isometries, Comm. Math. Phys. 57 (1977), 173–185.
[Fri87] , Finitely presented dynamical systems, Ergod. Th. Dynam. Sys. 7 (1987), 489–507.
[GPS99] , , and , Full groups of Cantor minimal systems, Israel J. Math. 111 (1999), 285– 320.
[Gri80] , On Burnside's problem on periodic groups, Functional Anal. Appl. 14 (1980), no. 1, 41–43.
[Gro87] , , Essays in Group Theory (S. M. Gersten, ed.), M.S.R.I. Pub., no. 8, Springer, 1987, pp. 75–263.
[Hae01] , Groupoids and foliations, Groupoids in Analysis, Geometry, and Physics. AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, CO, USA, June 20- 24, 1999, Contemp. Math, vol. 282, Providence, RI: A.M.S., 2001, pp. 83–100.
[Hae02] , Foliations and compactly generated pseudogroups, Foliations: geometry and dynamics (Warsaw, 2000), World Sci. Publ., River Edge, NJ, 2002, pp. 275–295.
[Hig74] , Finitely presented infinite simple groups, Department of Pure Mathematics, Department of Mathematics, I.A.S. Australian National University, Canberra, 1974, Notes on Pure Mathematics, No. 8 (1974).
[IS10] and , Homotopy shadowing, Amer. J. Math. 132 (2010), no. 4, 987–1029.
[Law14] , On a class of countable Boolean inverse monoids and Matui's spatial realization theorem, (preprint arxiv:1407.1473), 2014.
[Law15] , Subgroups of the group of homeomorphisms of the Cantor space and a duality between a class of inverse monoids and a class of Hausdorff étale groupoids, (preprint arxiv:1501.06824), 2015.
[Lea56] , Modules over rings of words, Proc. Amer. Math. Soc. 7 (1956), 188–193.
[Lea65] , The module type of homomorphic images, Duke Math. J. 32 (1965), 305–311. MR 0178018 (31 #2276)
[Mat06] , Some remarks on topological full groups of Cantor minimal systems, Internat. J. Math. 17 (2006), no. 2, 231–251.
[Mat15] , Topological full groups of one-sided shifts of finite type, J. Reine Angew. Math. 705 (2015), 35–84.
[Med11] , Reconstruction of orbits of Cantor systems from full groups, Bull. Lond. Math. Soc. 43 (2011), no. 6, 1104–1110.
[Mil06] , Dynamics in one complex variable, third ed., Annals of Mathematics Studies, vol. 160, Princeton University Press, Princeton, NJ, 2006.
[Nek03] , Hyperbolic spaces from self-similar group actions, Algebra and Discrete Mathematics 1 (2003), no. 2, 68–77.
[Nek04] , Cuntz-Pimsner algebras of group actions, Journal of Operator Theory 52 (2004), no. 2, 223–249.
[Nek05] , Self-similar groups, Mathematical Surveys and Monographs, vol. 117, Amer. Math. Soc., Providence, RI, 2005.
[Nek08] , Symbolic dynamics and self-similar groups, Holomorphic dynamics and renormalization. A volume in honour of John Milnor's 75th birthday (Mikhail Lyubich and Michael Yampolsky, eds.), Fields Institute Communications, vol. 53, A.M.S., 2008, pp. 25–73.
[Nek09] , C*-algebras and self-similar groups, Journal für die reine und angewandte Mathematik 630 (2009), 59–123.
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