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2020 Immersed cycles and the JSJ decomposition
Meda Satish Suraj Krishna
Algebr. Geom. Topol. 20(4): 1877-1938 (2020). DOI: 10.2140/agt.2020.20.1877

Abstract

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.

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Meda Satish Suraj Krishna. "Immersed cycles and the JSJ decomposition." Algebr. Geom. Topol. 20 (4) 1877 - 1938, 2020. https://doi.org/10.2140/agt.2020.20.1877

Information

Received: 23 December 2018; Revised: 14 September 2019; Accepted: 15 November 2019; Published: 2020
First available in Project Euclid: 1 August 2020

zbMATH: 07226707
MathSciNet: MR4127086
Digital Object Identifier: 10.2140/agt.2020.20.1877

Subjects:
Primary: 20E06, 20E08, 20F65, 20F67

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.20 • No. 4 • 2020
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