Counting fixed points of a finitely generated subgroup of Aff[C]
Loray, F.
Van der Put, M.
Recher, F.

Data: 2004
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: Article ; recerca ; article ; publishedVersion
Matèria: Limit cycles ; Singularities of vector fields ; Riccati equation
Publicat a: Publicacions matematiques, V. 48 N. 1 (2004) , p. 127-137, ISSN 0214-1493

Adreça original:
DOI: 10.5565/PUBLMAT_48104_06
DOI: 10.5565/38092

12 p, 139.3 KB

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