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Mathematics > Group Theory

Title: Dynamics of iwip automorphisms of free products

Abstract: Let $G$ be a free product and $\mathrm{Out}(G)$ the outer automorphism group of $G$. In this article using the theory of laminations we give a criterion for a subgroup $H$ of $\mathrm{Out}(G)$ to contain a nonabelian free subgroup. We also study the centraliser of an iwip element of $\mathrm{Out}(G)$ and the stabiliser of its associated lamination.
Comments: arXiv admin note: text overlap with arXiv:math/9712217 by other authors
Subjects: Group Theory (math.GR)
MSC classes: 20F28, 20F65, 20F34
Cite as: arXiv:2309.04569 [math.GR]
  (or arXiv:2309.04569v1 [math.GR] for this version)

Submission history

From: Dionysios Syrigos [view email]
[v1] Fri, 8 Sep 2023 20:00:57 GMT (41kb)

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