JSJ decompositions: definitions, existence, uniqueness. II. Compatibility and acylindricity

Details JSJ decompositions: definitions, existence, uniqueness. II. Compatibility and acylindricity JSJ decompositions: definitions, existence, uniqueness. II. Compatibility and acylindricity

2010-02-24

arxiv.org/abs/1002.4564v2

Mathematics

Group Theory

Small changes. 44 pages

Scientific paper

We define the compatibility JSJ tree of a group G over a class of subgroups. It exists whenever G is finitely presented and leads to a canonical tree (not a deformation space) which is invariant under automorphisms. Under acylindricity hypotheses, we prove that the (usual) JSJ deformation space and the compatibility JSJ tree exist, and we describe their flexible subgroups. We apply these results to finitely generated CSA groups, \Gamma-limit groups (allowing torsion), and relatively hyperbolic groups.

Affiliated with

Also associated with

No associations

Rating

JSJ decompositions: definitions, existence, uniqueness. II. Compatibility and acylindricity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with JSJ decompositions: definitions, existence, uniqueness. II. Compatibility and acylindricity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and JSJ decompositions: definitions, existence, uniqueness. II. Compatibility and acylindricity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-260862