81 citations · 242 across the 17 of their papers we have counts for
5 papers · 1 filter
Introduction to a small cancellation theorem
Stéphane Lamy, Anne Lonjou
This note is intended as an introduction to two previous works respectively by Dahmani, Guirardel, Osin, and by Cantat, Lamy. We give two proofs of a Small Cancellation Theorem for…
Acylindrical hyperbolicity of the three-dimensional tame automorphism group
Stéphane Lamy, Piotr Przytycki
We prove that the group STame() of special tame automorphisms of the affine 3-space is not simple, over any base field of characteristic zero. Our proof is based on the study…
Combinatorics of the tame automorphism group
Stéphane Lamy
We study the group Tame() of tame automorphisms of the 3-dimensional affine space, over a field of characteristic zero. We recover, in a unified and (hopefully) simpli…
The tame automorphism group of an affine quadric threefold acting on a square complex
Cinzia Bisi, Jean-Philippe Furter, Stéphane Lamy
We study the group Tame(SL) of tame automorphisms of a smooth affine 3-dimensional quadric, which we can view as the underlying variety of SL(2,). We construct a sq…
Normal subgroup generated by a plane polynomial automorphism
Jean-Philippe Furter, Stéphane Lamy
We study the normal subgroup <f> generated by a non trivial element f in the group G of complex plane polynomial automorphisms having Jacobian determinant 1. On one hand if f has l…