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.

A pro-p version of Sela’s accessibility and Poincaré duality pro-p groups / Castellano, Ilaria; Zalesskii, Pavel A.. - In: GROUPS, GEOMETRY, AND DYNAMICS. - ISSN 1661-7207. - 18:4(2024), pp. 1349-1368. [10.4171/ggd/769]

A pro-p version of Sela’s accessibility and Poincaré duality pro-p groups

Castellano, Ilaria;
2024

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/3003347