Geodesic intersections and isoxial Fuchsian groups
| Autor: | Greg McShane |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Fuchsian group
57M27 37E30 57M55 Pure mathematics Class (set theory) Conjecture Geodesic Group (mathematics) 010102 general mathematics Geometric Topology (math.GT) General Medicine 01 natural sciences Commensurability (mathematics) Mathematics::Geometric Topology Mathematics - Geometric Topology 0103 physical sciences FOS: Mathematics 010307 mathematical physics 0101 mathematics Mathematics |
| Popis: | The set of axes of hyperbolic elements in a Fuchsian group depends on the commensurability class of the group. In fact, it has been conjectured that it determines the commensurability class and this has been verified in for groups of the second kind by G. Mess and for arithemetic groups by by D. Long and A. Reid. Here we show that the conjecture holds for almost all Fuchsian groups and explain why our method fails for arithemetic groups. 2 figures |
| Databáze: | OpenAIRE |
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