Twisted conjugacy in big mapping class groups

نویسندگان

چکیده

Let G be a group and φ an automorphism of G. Two elements x,y are said to φ-twisted conjugate if y=gxφ(g)−1 for some g∈G. A has the R∞-property number conjugacy classes is infinite every In this paper, we prove that big mapping class MCG(S) possesses under suitable conditions on infinite-type surface S. As application, also only it satisfies S∞-property.

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 2023

ISSN: ['1879-3207', '0166-8641']

DOI: https://doi.org/10.1016/j.topol.2022.108353