Two-Generator Discrete Subgroups of Psl (2,R)

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Introduction The acute triangle theorem Discreteness theorem proof outline
Preliminaries Triangle groups and their tilings Pentagons Hyperbolic formulae & geometry Extending Knapp & Poincare
Geometric equivalence and the discreteness theorem The standard acute triangles Nielsen eq: $(2,3,n)t=3; k=3$ Nielsen eq: $(2,4,n)t=2; k=2$ Pentagon $t=9$ & 2-2 spectrum The seven & geometric eq $t=9$ Discreteness theorem proof
The real number algorithm and the Turing machine algorithm Forms of the algorithm
Appendix Verify Matelski-Beardon count A summary of notation
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