Centralisers of Dehn twist automorphisms of free groups
| Autor: | Richard D. Wade, Moritz Rodenhausen |
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| Rok vydání: | 2015 |
| Předmět: |
Classifying space
General Mathematics Computer Science::Software Engineering Geometric Topology (math.GT) Group Theory (math.GR) 20E36 20F65 Automorphism Mathematics::Geometric Topology Combinatorics Mathematics::Group Theory Mathematics - Geometric Topology Dehn twist Free group FOS: Mathematics Mathematics::Representation Theory Mathematics - Group Theory Computer Science::Distributed Parallel and Cluster Computing Mathematics |
| Zdroj: | Mathematical Proceedings of the Cambridge Philosophical Society |
| ISSN: | 1469-8064 0305-0041 |
| DOI: | 10.1017/s0305004115000225 |
| Popis: | We refine Cohen and Lustig's description of centralisers of Dehn twists of free groups. We show that the centraliser of a Dehn twist of a free group has a subgroup of finite index that has a finite classifying space. We describe an algorithm to find a presentation of the centraliser. We use this algorithm to give an explicit presentation for the centraliser of a Nielsen automorphism in Aut(F_n). This gives restrictions to actions of Aut(F_n) on CAT(0) spaces. 33 pages, revised section 5, added section 6.5. Other minor revisions |
| Databáze: | OpenAIRE |
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