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
On Thompson's group T and algebraic K-theory
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. 34 - 45Publisher: Cambridge University PressPrint publication year: 2017
References
[1] and . The Borel conjecture for hyperbolic and CAT(0)-groups. Ann. of Math. (2), 175(2):631–689, 2012.
[2] , , and . The K-theoretic Farrell-Jones conjecture for hyperbolic groups. Invent. Math., 172(1):29–70, 2008.
[3] , , and . The cyclotomic trace and algebraic K-theory of spaces. Invent. Math., 111(3):465–539, 1993.
[4] . Finiteness properties of groups. J. Pure Appl. Algebra, 44(1-3):45–75, 1987. Proceedings of the Northwestern conference on cohomology of groups (Evanston, Ill., 1985).
[5] and . An infinite-dimensional torsionfree FP∞ group. Invent. Math., 77(2):367–381, 1984.
[6] , , and . Introductory notes on Richard Thompson's groups. Enseign. Math. (2), 42(3-4):215– 256, 1996.
[7] . Topological methods in group theory, volume 243 of Graduate Texts in Mathematics. Springer, 2008.
[8] and . Sur un groupe remarquable de difféomorphismes du cercle. Comment. Math. Helv., 62(2):185–239, 1987.
[9] and . Introduction to the modern theory of dynamical systems, volume 54 of Encyclopedia of Mathematics and its Applications. Cambridge University Press, 1995.
[10] K- and L-theory of group rings. In Proceedings of the International Congress of Mathematicians vol. II, volume II, pages 1071– 1098. Hindustan Book Agency, 2010.
[11] and . The Baum-Connes and the Farrell- Jones conjectures in K- and L-theory. In Handbook of K-theory, volume 2, pages 703–842. Springer, 2005.
[12] , , , and . Algebraic K-theory of group rings and the cyclotomic trace map. Adv. Math., 304:930–1020, 2017.
[13] , , and . Commuting homotopy limits and smash products. K-Theory, 30(2):137–165, 2003.
[14] , , and . Cohomological finiteness conditions and centralisers in generalisations of Thompson's group V. Forum Math., 28(5):909–921, 2016.
[15] and . Bredon cohomological finiteness conditions for generalisations of Thompson groups. Groups Geom. Dyn., 7(4):931–959, 2013.
[16] . Algorithms and classification in groups of piecewiselinear homeomorphisms. Ph.D. thesis, Cornell University, 2008.
[17] . Whitehead groups of finite groups, volume 132 of London Mathematical Society Lecture Note Series. Cambridge University Press, Cambridge, 1988.
[18] . The Artin defect in algebraic K-theory. Ph.D. thesis, Freie Universität Berlin, 2014.
[19] . The K-theoretic Farrell-Jones conjecture for CAT(0)- groups. Proc. Amer. Math. Soc., 140(3):779–793, 2012.