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Centralisers of Dehn twist automorphisms of free groups

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.

preprint2014arXivOpen access
Moritz RodenhausenRichard D. Wade
math.GRmath.GT
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Moritz RodenhausenRichard D. Wade

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