Authors: | Fine, Benjamin Hahn, Miriam Hulpke, Alexander Rebel, Volker große Rosenberger, Gerhard Scheer, Martin |
Title: | All Finite Generalized Tetrahedron Groups |
Language (ISO): | en |
Abstract: | A generalized tetrahedron groups is defined to be a group admitting a presentation <x, y, z | x^l = y^m = z^n = W^{p}_{1}(x,y) = W^{q}_{2}(y,z) = W^{r}_{z}(x,z) = 1> where l,m,n,p,q,r >= 2, each W_i(a,b) is a cyclically reduced word involving both a and b. These groups appear in many contexts, not least as fundamental groups of certain hyperbolic orbifolds or as subgroups of generalized triangle groups. In this paper, we build on previous work to give a complete classification of all finite generalized tetrahedron groups. |
Subject Headings: | generalized tetrahedron groups generalized triangle groups triangle of groups Fortsetzungssatz |
URI: | http://hdl.handle.net/2003/25188 http://dx.doi.org/10.17877/DE290R-70 |
Issue Date: | 2008-04-15T11:59:58Z |
Appears in Collections: | Preprints der Fakultät für Mathematik |
Files in This Item:
File | Description | Size | Format | |
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mathematicalPreprint03.pdf | 368.61 kB | Adobe PDF | View/Open |
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