The automorphism group of a free-by-cyclic group in rank 2
Let ¡ be an automorphism of a free group F 2 of rank 2 and let M ¡ = F 2 o ¡ Z be the corresponding mapping torus of ¡ . We prove that the group Out ( M ¡ ) is usually virtually cyclic. More- over, we classify the cases when this group is Ønite depending on the conjugacy class of the image of ¡ in G...
| Authors: | ; ; |
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| Format: | Article |
| Publication date: | 2007 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/79983 |
| Online Access: | https://hdl.handle.net/2117/79983 |
| Access Level: | Open access |
| Keyword: | Free groups Group theory Grups, Teoria de Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
| Summary: | Let ¡ be an automorphism of a free group F 2 of rank 2 and let M ¡ = F 2 o ¡ Z be the corresponding mapping torus of ¡ . We prove that the group Out ( M ¡ ) is usually virtually cyclic. More- over, we classify the cases when this group is Ønite depending on the conjugacy class of the image of ¡ in GL 2 ( Z ) |
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