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Title:
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A description of auto-fixed subgroups in a free group
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Author:
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Martino, Armando; Ventura Capell, Enric
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. MD - Matemàtica Discreta |
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Abstract:
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Let F be a finitely generated free group. By using Bestvina-Handel theory, as well
as some further improvements, the eigengroups of a given automorphism of F (and
its fixed subgroup among them) are globally analyzed and described. In particular,
an explicit description of all subgroups of F which occur as the fixed subgroup of
some automorphism is given. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
-Automorphisms
-Group theory
-Free group
-Automorphism
-Fixed subgroup
-Eigengroup
-Automorfismes
-Grups, Teoria de
-Classificació AMS::20 Group theory and generalizations::20E Structure and classification of infinite or finite groups |
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Rights:
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Document type:
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Article - Submitted version
Article |
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