Accessibility and JSJ Decompositions of Groups.

[摘要] In this dissertation, we present two separate results in geometric group theory.The first is an accessibility result for hyperbolic groups with no 2-torsion.The second result proves the invariance under quasi-isometries of certain vertex groups of the Scott-Swarup JSJ decomposition of one-ended, finitely presented groups.

[发布机构] University of Michigan

[效力级别] JSJ Decompositions

[关键词] Group Accessibility;JSJ Decompositions;Bass-Serre Theory;Mathematics;Science;Mathematics