arXiv Open Access 2021

Reducible normal generators for mapping class groups are abundant

Hyungryul Baik Dongryul M. Kim Chenxi Wu

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Abstrak

In this article, we study the normal generation of the mapping class group. We first show that a mapping class is a normal generator if its restriction on the invariant subsurface normally generates the (pure) mapping class group of the subsurface. As an application, we provided a criterion for reducible mapping classes to normally generate the mapping class groups in terms of its asymptotic translation lengths on Teichmüller spaces. This is an analogue to the work of Lanier-Margalit dealing with pseudo-Anosov normal generators.

Topik & Kata Kunci

math.GT math.DS math.GR

Penulis (3)

Hyungryul Baik

Dongryul M. Kim

Chenxi Wu

Format Sitasi

APA MLA BibTeX

Baik, H., Kim, D.M., Wu, C. (2021). Reducible normal generators for mapping class groups are abundant. https://arxiv.org/abs/2112.13726

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓