Groups of piecewise linear homeomorphisms

Stein, Melanie

doi:10.1090/S0002-9947-1992-1094555-4

Groups of piecewise linear homeomorphisms
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by Melanie Stein PDF

Trans. Amer. Math. Soc. 332 (1992), 477-514 Request permission

Abstract:

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.

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