JS']JSJ-decompositions of finitely presented groups and complexes of groups

被引：33

作者：

Fujiwara, K ^{[1
]}

Papasoglu, P

机构：

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

[2] Univ Athens, Dept Math, Athens 15784, Greece

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2006年 / 16卷 / 01期

关键词：

!text type='JS']JS[!/text]J-decomposition; complex of groups; Bass-Serre theory;

D O I：

10.1007/s00039-006-0550-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A JSJ-splitting of a group G over a certain class of subgroups is a graph of groups decomposition of G which describes all possible decompositions of G as an amalgamated product or an HNN extension over subgroups lying in the given class. Such decompositions originated in 3-manifold topology. In this paper we generalize the JSJ-splitting constructions of Sela, Rips-Sela and Dunwoody-Sageev, and we construct a JSJ-splitting for any finitely presented group with respect to the class of all slender subgroups along which the group splits. Our approach relies on Haefliger's theory of group actions on CAT(0) spaces.

引用

页码：70 / 125

页数：56

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