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20052023
most citedA finitely generated, locally indicable group with no faithful action by C^1 diffeomorphisms of the interval

16 citations · 147 across the 35 of their papers we have counts for

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10 papers · 1 filter

math.GR2020

(Un)distorted diffeomorphisms in different regularities

Andrés Navas

We build the first examples of diffeomorphisms that are distorted in a group of diffeomorphisms yet undistorted in the corresponding group of diffeomorphisms, where $r…

math.GR2019★ 6 cited

Uniformly perfect finitely generated simple left orderable groups

James Hyde, Yash Lodha, Andrés Navas +1

We show that the finitely generated simple left orderable groups constructed by the first two authors in arXiv:1807.06478 are uniformly perfect - each element in the group ca…

math.GR2016★ 6 cited

The further chameleon groups of Richard Thompson and Graham Higman: Automorphisms via dynamics for the Higman groups

Collin Bleak, Peter Cameron, Yonah Maissel +2

We describe, through the use of Rubin's theorem, the automorphism groups of the Higman-Thompson groups as groups of specific homeomorphisms of Cantor spaces $\mathfrak{C}…

math.GR2014

Groups, orders, and laws

Andrés Navas

We discuss the question whether left-orderable groups satisfying a nontrivial law are locally indicable.

math.GR2011★ 2 cited

Sharp regularity for certain nilpotent group actions on the interval

G. Castro, E. Jorquera, A. Navas

According to the classical Plante-Thurston Theorem, all nilpotent groups of -diffeomorphisms of the closed interval are Abelian. Using techniques coming from the works of Denj…

math.GR2009

A remarkable family of left ordered groups: central extensions of Hecke groups

Andrés Navas

We provide an infinite family of left-ordered groups, all of which have a positive cone that is finitely generated as a semigroup. This family includes the Klein bottle group and t…