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

Date: 2004
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.
Rights: Tots els drets reservats.
Language: Anglès
Document: Article ; recerca ; Versió publicada
Subject: Limit cycles ; Singularities of vector fields ; Riccati equation
Published in: Publicacions matemàtiques, V. 48 N. 1 (2004) , p. 127-137, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/38092
DOI: 10.5565/PUBLMAT_48104_06


12 p, 139.3 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles

 Record created 2006-03-13, last modified 2022-04-07



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