TY - JOUR
AU - Rubén Hidalgo
PY - 2017/04/24
Y2 - 2018/11/19
TI - A commutator rigidity for function groups and Torelli’s theorem
JF - Proyecciones. Journal of Mathematics
JA - PJM
VL - 22
IS - 2
SE - Artículos
DO - 10.4067/S0716-09172003000200002
UR - http://www.revistaproyecciones.cl/article/view/1486
AB - We show that a non-elementary finitely generated torsion-free function group is uniquely determined by its commutator subgroup. In this way, we obtain a generalization of the results obtained in [2], [3] and [8]. This is well related to Torelli’s theorem for closed Riemann surfaces. For a general non-elementary torsion-free Kleinian group the above rigidity property still unknown.
ER -