A pro- version of Sela’s accessibility and Poincaré duality pro- groups
Ilaria Castellano
Bielefeld University, Bielefeld, GermanyPavel A. Zalesskii
University of Brasilia, Brasilia, Brazil
![A pro-$p$ version of Sela’s accessibility and Poincaré duality pro-$p$ groups cover](/_next/image?url=https%3A%2F%2Fcontent.preview.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-ggd.png&w=3840&q=90)
Abstract
We prove a pro- version of Sela’s theorem (1997) stating that a finitely generated group is -acylindrically accessible. This result is then used to prove that pro- groups admit a unique -acylindrical JSJ-decomposition.
Cite this article
Ilaria Castellano, Pavel A. Zalesskii, A pro- version of Sela’s accessibility and Poincaré duality pro- groups. Groups Geom. Dyn. (2023), published online first
DOI 10.4171/GGD/769