Counting fixed points of a finitely generated subgroup of Aff [C].

Loray, F., Van Der Put, M., and Recher, F.. "Counting fixed points of a finitely generated subgroup of Aff [C].." Publicacions Matemàtiques 48.1 (2004): 127-137. <http://eudml.org/doc/41493>.

@article{Loray2004,
abstract = {Given a finitely generated subgroup G of the group of affine transformations acting on the complex line C, we are interested in the quotient Fix( G)/G. The purpose of this note is to establish when this quotient is finite and in this case its cardinality. We give an application to the qualitative study of polynomial planar vector fields at a neighborhood of a nilpotent singular point.},
author = {Loray, F., Van Der Put, M., Recher, F.},
journal = {Publicacions Matemàtiques},
keywords = {Ecuación de Riccati; Singularidades; Ciclos límite; Conjunto de puntos fijos; Subgrupos; Grupos de transformación; Limit cycles; singularities of vector fields; Riccati equation},
language = {eng},
number = {1},
pages = {127-137},
title = {Counting fixed points of a finitely generated subgroup of Aff [C].},
url = {http://eudml.org/doc/41493},
volume = {48},
year = {2004},
}

TY - JOUR
AU - Loray, F.
AU - Van Der Put, M.
AU - Recher, F.
TI - Counting fixed points of a finitely generated subgroup of Aff [C].
JO - Publicacions Matemàtiques
PY - 2004
VL - 48
IS - 1
SP - 127
EP - 137
AB - Given a finitely generated subgroup G of the group of affine transformations acting on the complex line C, we are interested in the quotient Fix( G)/G. The purpose of this note is to establish when this quotient is finite and in this case its cardinality. We give an application to the qualitative study of polynomial planar vector fields at a neighborhood of a nilpotent singular point.
LA - eng
KW - Ecuación de Riccati; Singularidades; Ciclos límite; Conjunto de puntos fijos; Subgrupos; Grupos de transformación; Limit cycles; singularities of vector fields; Riccati equation
UR - http://eudml.org/doc/41493
ER -