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.
Castellano, I., Zalesskii, P. (2024). A pro-p version of Sela’s accessibility and Poincaré duality pro-p groups. GROUPS, GEOMETRY, AND DYNAMICS, 18(4), 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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