25 citations · 106 across the 38 of their papers we have counts for
44 papers · 1 filter
On some generating set of Thompson's group
Gili Golan, Mark Sapir
We prove that Thompson's group has a generating set with two elements such that every two powers of them generate a finite index subgroup of .
On closed subgroups of the R. Thompson group
Gili Golan, Mark Sapir
We prove that Thompson's group has a subgroup such that the conjugacy problem in is undecidable and the membership problem in is easily decidable. The subgroup …
Algorithmic problems in groups with quadratic Dehn function
A. Yu. Olshanskii, M. V. Sapir
We construct and study finitely presented groups with quadratic Dehn function (QD-groups) and present the following applications of the method developed in our recent papers. (1) T…
Conjugacy problem in groups with quadratic Dehn function
Alexandr Yu. Olshanskii, Mark V. Sapir
We construct a finitely presented group with quadratic Dehn function and undecidable conjugacy problem. This solves E. Rips' problem formulated in 1992. v2: misprints corrected. v3…
The isoperimetric spectrum of finitely presented groups
Mark Sapir
The isoperimeric spectrum consists of all real positive numbers such that is the Dehn function of a finitely presented group. In this note we show how a recent result…
Divergence of Thompson groups
Gili Golan, Mark Sapir
We prove that R. Thompson groups F, T, V have linear divergence functions.