Immersed cycles and the JSJ decomposition
Autor: | S, Suraj Krishna M |
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Rok vydání: | 2018 |
Předmět: | |
Zdroj: | Algebr. Geom. Topol. 20 (2020) 1877-1938 |
Druh dokumentu: | Working Paper |
DOI: | 10.2140/agt.2020.20.1877 |
Popis: | We present an algorithm to construct the JSJ decomposition of one-ended hyperbolic groups which are fundamental groups of graphs of free groups with cyclic edge groups. Our algorithm runs in double exponential time, and is the first algorithm on JSJ decompositions to have an explicit time bound. Our methods are combinatorial/geometric and rely on analysing properties of immersed cycles in certain CAT(0) square complexes. Comment: 35 pages, 9 figures. v2: Incorporated referee comments. Results have been strengthened. To appear in Algebraic and Geometric Topology |
Databáze: | arXiv |
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