Add to ORKGIn 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.Ph.D.MathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/60755/1/vavriche_1.pd
International audienceUsing the canonical JSJ splitting, we describe the outer automorphism group $\...
International audienceUsing the canonical JSJ splitting, we describe the outer automorphism group $\...
In this paper we use JSJ-decompositions to formalise a folk conjecture recorded by Pride on the stru...
In this dissertation, we present two separate results in geometric group theory. The first is an ac...
Bowditch\u27s JSJ tree for splittings over 2-ended subgroups is a quasi-isometry invariant for 1-end...
Weidmann has produced a bound on the number of edges of a graph of groups splitting for when a finit...
We construct the JSJ tree of cylinders $T_c$ for finitely presented, one-ended, two-dimensional righ...
Abstract. We demonstrate the quasi-isometry invariance of two important geometric struc-tures for re...
Two groups are virtually isomorphic if they can be obtained one from the other via a finite number o...
In this paper we use JSJ-decompositions to formalise a folk conjecture recorded by Pride on the stru...
Abstract. We construct quasi-isometry invariants of a one-ended finitely pre-sented group by conside...
Replaces and expands arXiv:0911.3173 and arXiv:1002.4564. 123 pagesInternational audienceThis is an ...
Replaces and expands arXiv:0911.3173 and arXiv:1002.4564. 123 pagesInternational audienceThis is an ...
In this thesis, we investigate two explicit families of geometric structures that occur on hy- perbo...
Two groups are virtually isomorphic if they can be obtained one from the other via a finite number o...
International audienceUsing the canonical JSJ splitting, we describe the outer automorphism group $\...
International audienceUsing the canonical JSJ splitting, we describe the outer automorphism group $\...
In this paper we use JSJ-decompositions to formalise a folk conjecture recorded by Pride on the stru...
In this dissertation, we present two separate results in geometric group theory. The first is an ac...
Bowditch\u27s JSJ tree for splittings over 2-ended subgroups is a quasi-isometry invariant for 1-end...
Weidmann has produced a bound on the number of edges of a graph of groups splitting for when a finit...
We construct the JSJ tree of cylinders $T_c$ for finitely presented, one-ended, two-dimensional righ...
Abstract. We demonstrate the quasi-isometry invariance of two important geometric struc-tures for re...
Two groups are virtually isomorphic if they can be obtained one from the other via a finite number o...
In this paper we use JSJ-decompositions to formalise a folk conjecture recorded by Pride on the stru...
Abstract. We construct quasi-isometry invariants of a one-ended finitely pre-sented group by conside...
Replaces and expands arXiv:0911.3173 and arXiv:1002.4564. 123 pagesInternational audienceThis is an ...
Replaces and expands arXiv:0911.3173 and arXiv:1002.4564. 123 pagesInternational audienceThis is an ...
In this thesis, we investigate two explicit families of geometric structures that occur on hy- perbo...
Two groups are virtually isomorphic if they can be obtained one from the other via a finite number o...
International audienceUsing the canonical JSJ splitting, we describe the outer automorphism group $\...
International audienceUsing the canonical JSJ splitting, we describe the outer automorphism group $\...
In this paper we use JSJ-decompositions to formalise a folk conjecture recorded by Pride on the stru...