Faithful real representations of cyclically pinched one-relator groups
In [FR 1,2] using faithful complex representations of cyclically pinched andconjugacy pinched one-relator groups we proved that any limit group has afaithful representation in PSL(2;C). Further this representation can be e ec-tively constructed using the JSJ decomposition. In this note we show that...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2014-03-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=2937&_ob=372215d2c02e27785c676c4e71a6347b&fileName=full_text.pdf. |
| Summary: | In [FR 1,2] using faithful complex representations of cyclically pinched andconjugacy pinched one-relator groups we proved that any limit group has afaithful representation in PSL(2;C). Further this representation can be e ec-tively constructed using the JSJ decomposition. In this note we show that anyhyperbolic cyclically pinched one-relator group with maximal amalgamatedsubgroups in each factor has a 2-dimensional faithful real representation. |
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| ISSN: | 2251-7650 2251-7669 |