Gili Golan

collaborators

5 papers

math.GR2026

Every copy of Thompson's group $F$ in $F$ is undistorted

Gili Golan

Thompson's group $F$ is the group of all piecewise-linear homeomorphisms of the unit interval whose breakpoints are dyadic and whose slopes are integer powers of $2$ . If $H$ is a f…

math.GR2026

Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_{n}$

Gili Golan

A homeomorphism of an interval is a positive bump if its support is a single open interval on which it moves every point to the right. Choosing a fundamental domain $[m, b (m))$ for…

math.GR2026

Higman--Thompson groups $F_{n}$ all the way down

Gili Golan

We prove that for every $n \geq 2$ the Higman--Thompson group $F_{n}$ has a maximal subgroup of infinite index isomorphic to itself. In fact, we construct a chain of subgroups $F_n=H_0…

math.GR2026

On the generation problem in Thompson's groups $F_{n}$

Gili Golan, Eytan Sapir

We study the generation problem in the Higman-Thompson groups $F_{n}$ via the core and closure of subgroups of $F_{n}$ and associated automata. We give sufficient conditions for a subs…

math.HO2024

Remembering Mark Sapir

Jean-Camille Birget, Gili Golan, Alexander Olshanskii +1

This memorial article for Mark Sapir provides a brief overview of his life and career. Among his many contributions we highlight two of his most celebrated achievements: his ground…

Every copy of Thompson's group F in F is undistorted

Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups Fn​

Higman--Thompson groups Fn​ all the way down

On the generation problem in Thompson's groups Fn​

Remembering Mark Sapir

Every copy of Thompson's group $F$ in $F$ is undistorted

Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_{n}$

Higman--Thompson groups $F_{n}$ all the way down

On the generation problem in Thompson's groups $F_{n}$