The Burnside problem for $\text{Diff}_{\text{Vol}}(\mathbb{S}^2)$

Autor:	Hurtado, Sebastian, Kocsard, Alejandro, Rodríguez-Hertz, Federico
Rok vydání:	2016
Předmět:	Mathematics - Dynamical Systems Mathematics - Group Theory
Zdroj:	Duke Math. J. 169, no. 17 (2020), 3261-3290
Druh dokumentu:	Working Paper
DOI:	10.1215/00127094-2020-0028
Popis:	Let $S$ be a closed surface and $\text{Diff}_{\text{Vol}}(S)$ be the group of volume preserving diffeomorphisms of $S$. A finitely generated group $G$ is periodic of bounded exponent if there exists $k \in \mathbb{N}$ such that every element of $G$ has order at most $k$. We show that every periodic group of bounded exponent $G \subset \text{Diff}_{\text{Vol}}(S)$ is a finite group. Comment: Added Alejandro Kocsard and Federico Rodr\'iguez-Hertz as coauthors. Include new results about actions of periodic groups on Tori and hyperbolic manifolds
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1607.04603 Zobrazit plný text záznamu View this record from Arxiv