Transactions of the American Mathematical Society

Author(s): Daniel S. Farley
Journal: Trans. Amer. Math. Soc. 357 (2005), 3567-3584.
MSC (2000): Primary 20J05, 20F65
Posted: December 9, 2004
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Abstract: Picture groups are a class of groups introduced by Guba and Sapir. Known examples include Thompson's groups

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In this paper, a large class of picture groups is proved to be of type $F_{\infty}$ . A Morse-theoretic argument shows that, for a given picture group, the rational homology vanishes in almost all dimensions.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 20J05, 20F65

Daniel S. Farley
Affiliation: Department of Mathematics, University of Illinois, Urbana, Illinois 61801

DOI: 10.1090/S0002-9947-04-03720-1
PII: S 0002-9947(04)03720-1
Keywords: Picture groups, diagram groups, finiteness properties of groups, Morse theory
Received by editor(s): December 4, 2003
Posted: December 9, 2004
Copyright of article: Copyright 2004, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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