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Faithful real representations of cyclically pinched one-relator groups | ||
| International Journal of Group Theory | ||
| مقاله 1، دوره 3، شماره 1، خرداد 2014، صفحه 1-8 اصل مقاله (604.27 K) | ||
| نوع مقاله: Second Biennial International Group Theory Conference 2013 | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2014.2937 | ||
| نویسندگان | ||
| Benjamin Fine1؛ Martin Kreuzer2؛ Gerhard Rosenberger* 3 | ||
| 1Fair eld University | ||
| 2Universitat Passau | ||
| 3University of Hamburg | ||
| چکیده | ||
| In [4,5] using faithful complex representations of cyclically pinched and conjugacy pinched one-relator groups we proved that any limit group has a faithful representation in $PSL(2,C)$. Further this representation can be effectively constructed using the JSJ decomposition. In this note we show that any hyperbolic cyclically pinched one-relator group with maximal amalgamated subgroups in each factor has a 2-dimensional faithful real representation. | ||
| کلیدواژهها | ||
| hyperbolic group؛ limit group؛ faithful representation | ||
| مراجع | ||
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