@article{Wilkes_2018, title={Profinite Completions, Cohomology and JSJ Decompositions of Compact 3-Manifolds}, volume={48}, url={https://www.nzjmath.org/index.php/NZJMATH/article/view/33}, DOI={10.53733/33}, abstractNote={<p>In this paper we extend previous results concerning the behaviour of JSJ decompositions of closed 3-manifolds with respect to the profinite completion to the case of compact 3-manifolds with boundary.</p> <p>We also illustrate an alternative and perhaps more natural approach to part of the original theorem, using relative cohomology to analyse the actions of an-annular atoroidal group pairs on profinite trees.</p> <p> </p>}, journal={New Zealand Journal of Mathematics}, author={Wilkes, Gareth}, year={2018}, month={Dec.}, pages={101–113} }