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...
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| Format: | Article |
| Language: | English |
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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. |
| _version_ | 1811214027865456640 |
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| author | Benjamin Fine Martin Kreuzer Gerhard Rosenberger |
| author_facet | Benjamin Fine Martin Kreuzer Gerhard Rosenberger |
| author_sort | Benjamin Fine |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T05:56:18Z |
| format | Article |
| id | doaj.art-b44202102d464e5e8ccc01792d184085 |
| institution | Directory Open Access Journal |
| issn | 2251-7650 2251-7669 |
| language | English |
| last_indexed | 2024-04-12T05:56:18Z |
| publishDate | 2014-03-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | International Journal of Group Theory |
| spelling | doaj.art-b44202102d464e5e8ccc01792d1840852022-12-22T03:45:09ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692014-03-013118Faithful real representations of cyclically pinched one-relator groupsBenjamin FineMartin KreuzerGerhard RosenbergerIn [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.http://www.theoryofgroups.ir/?_action=showPDF&article=2937&_ob=372215d2c02e27785c676c4e71a6347b&fileName=full_text.pdf.hyperbolic grouplimit groupfaithful representation |
| spellingShingle | Benjamin Fine Martin Kreuzer Gerhard Rosenberger Faithful real representations of cyclically pinched one-relator groups International Journal of Group Theory hyperbolic group limit group faithful representation |
| title | Faithful real representations of cyclically pinched one-relator groups |
| title_full | Faithful real representations of cyclically pinched one-relator groups |
| title_fullStr | Faithful real representations of cyclically pinched one-relator groups |
| title_full_unstemmed | Faithful real representations of cyclically pinched one-relator groups |
| title_short | Faithful real representations of cyclically pinched one-relator groups |
| title_sort | faithful real representations of cyclically pinched one relator groups |
| topic | hyperbolic group limit group faithful representation |
| url | http://www.theoryofgroups.ir/?_action=showPDF&article=2937&_ob=372215d2c02e27785c676c4e71a6347b&fileName=full_text.pdf. |
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