Faithful real representations of cyclically pinched one-relator groups

‎‎In [۴,۵] 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(۲,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 ۲-dimensional faithful real representation‎.

کلیدواژه ها:

hyperbolic group ، limit group ، faithful representation