Geodesic
A pro-$p$ version of Sela’s accessibility and Poincaré duality pro-$p$ groups
Ilaria Castellano1 orcid ; Pavel A. Zalesskii2 orcid
1Bielefeld University, Bielefeld, Germany
2University of Brasilia, Brasilia, Brazil
Groups, geometry, and dynamics, Tome 18 (2024) no. 4, pp. 1349-1368

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DOI

We prove a pro-p version of Sela’s theorem (1997) stating that a finitely generated group is k-acylindrically accessible. This result is then used to prove that PDn pro-p groups admit a unique k-acylindrical JSJ-decomposition.
DOI : 10.4171/ggd/769
Classification : 20E18, 57M60
Mots-clés : Pro-[object Object] groups, pro-[object Object] trees, [object Object]-acylindrical, accessibility, JSJ-decomposition

Ilaria Castellano  1   ; Pavel A. Zalesskii  2

1 Bielefeld University, Bielefeld, Germany
2 University of Brasilia, Brasilia, Brazil 
Ilaria Castellano; Pavel A. Zalesskii. A pro-$p$ version of Sela’s accessibility and Poincaré duality pro-$p$ groups. Groups, geometry, and dynamics, Tome 18 (2024) no. 4, pp. 1349-1368. doi: 10.4171/ggd/769
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     title = {A pro-$p$ version of {Sela{\textquoteright}s} accessibility and {Poincar\'e} duality pro-$p$ groups},
     journal = {Groups, geometry, and dynamics},
     pages = {1349--1368},
     year = {2024},
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