Faithful real representations of cyclically pinched one-relator groups

Document Type: Second Biennial International Group Theory Conference 2013

Authors

1 Fair eld University

2 Universitat Passau

3 University of Hamburg

Abstract

‎‎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.

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Main Subjects


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