Rita Gitik

activity

20172019

most citedOn Closed Subsets of Free Groups

1 citations · 1 across the 4 of their papers we have counts for

collaborators

Showing 2018Show all

7 papers · 1 filter

math.GR2018

A Combination Theorem for PD(n)-Pairs

Rita Gitik

We prove a combination theorem for PD(n)-pairs.

math.GR2018

A Proof of Simon's Conjecture

Rita Gitik

We prove Simon's conjecture for 3-manifolds.

math.GR2018

On Local Tameness of Certain Graphs of Groups

Rita Gitik

Let $G$ be the fundamental group of a finite graph of groups with Noetherian edges and locally tame vertices. We prove that $G$ is locally tame. It follows that if a finitely prese…

math.GR2018

Quasi-positivity and recognition of products of conjugacy classes in free groups

Robert W. Bell, Rita Gitik

Given a group $G$ and a subset $X \subset G$ , an element $g \in G$ is called quasi-positive if it is equal to a product of conjugates of elements in the semigroup generated by $X$ .…

math.GR2018

On Growth of Double Cosets in Hyperbolic Groups

Rita Gitik, Eliyahu Rips

Let $H$ be a hyperbolic group, $A$ and $B$ be subgroups of $H$ , and $g r (H, A, B)$ be the growth function of the double cosets $A h B, h \in H$ . We prove that the behavior of $gr(H,A,B)…

math.GR2018

Two Algorithms in Group Theory

Rita Gitik

We present a new algorithm deciding if the intersection of a quasiconvex subgroup of a negatively curved group with a conjugate is finite. We also give a short proof of decidabilit…