论文信息 - Groups of piecewise linear homeomorphisms

Groups of piecewise linear homeomorphisms

In this paper we study a class of groups which may be described as groups of piecewise linear bijections of a circle or of compact intervals of the real line. We use the action of these groups on simplicial complexes to obtain homological and combinatorial information about them. We also identify large simple subgroups in all of them, providing examples of finitely presented infinite simple groups

Melanie Stein | M. Stein

[1] Stephen Weingram,et al. The Topology of CW Complexes , 1969 .

[2] Ronald T. Brown,et al. Elements of Modern Topology , 1968 .

[3] Elizabeth Scott. The embedding of certain linear and Abelian groups in finitely presented simple groups , 1984 .

[4] Elizabeth Scott. A construction which can be used to produce finitely presented infinite simple groups , 1984 .

[5] K. S. Brown. Presentations for groups acting on simply-connected complexes , 1984 .

[6] Elizabeth Scott. A finitely presented simple group with unsolvable conjugacy problem , 1984 .

[7] Kenneth S. Brown,et al. The Geometry of Rewriting Systems: A Proof of the Anick-Groves-Squier Theorem , 1992 .

[8] Kenneth S. Brown,et al. Finiteness properties of groups , 1987 .

[9] D. Epstein,et al. The simplicity of certain groups of homeomorphisms , 1970 .

[10] P. Greenberg. PSEUDOGROUPS FROM GROUP ACTIONS , 1987 .

[11] D. Quillen,et al. Homotopy properties of the poset of nontrivial p-subgroups of a group , 1978 .

[12] Ross Geoghegan,et al. An infinite-dimensional torsion-freeFP∞ group , 1984 .

[13] G. Higman,et al. Finitely presented infinite simple groups , 1974 .