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
收藏
页码：1349 / 1368
页数：20
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