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

被引：1

作者：

Castellano, Ilaria ^{[1
]}

Zalesskii, Pavel A. ^{[2
]}

机构：

[1] Bielefeld Univ, Fac Math, Univ str 25, D-33501 Bielefeld, Germany

[2] Univ Brasilia, Dept Math, Campus Univ Darcy Ribeiro, BR-70910900 Brasilia, Brazil

来源：

GROUPS GEOMETRY AND DYNAMICS | 2024年 / 18卷 / 04期

关键词：

Pro-p groups; pro-p trees; k-acylindrical; accessibility; !text type='JS']JS[!/text]J-decomposition; FINITELY PRESENTED GROUPS; SPLITTINGS; PROFINITE;

D O I：

10.4171/GGD/769

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 n pro-p groups admit a unique k-acylindrical JSJ-decomposition.

引用

页码：1349 / 1368

页数：20

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