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

F. Loray; M. Van Der Put; F. Recher

Publicacions Matemàtiques (2004)

- Volume: 48, Issue: 1, page 127-137
- ISSN: 0214-1493

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topLoray, 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 -

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