Yann Ollivier

most citedCogrowth and spectral gap of generic groups

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

collaborators

4 papers

math.GR2004

Some small cancellation properties of random groups

Yann Ollivier

We work in the density model of random groups. We prove that they satisfy an isoperimetric inequality with sharp constant $1 - 2 d$ depending upon the density parameter $d$ . This impl…

math.GR2004

Kazhdan groups with infinite outer automorphism group

Yann Ollivier, Daniel T. Wise

For each countable group $Q$ we produce a short exact sequence $1 \to N \to G \to Q \to 1$ where $G$ is f.g. and has a graphical $\frac{1}{6}$ presentation and $N$ is f.g. and satisfies…

math.GR2004

Growth exponent of generic groups

Yann Ollivier

Grigorchuk and de la Harpe asked if there are many groups with growth exponent close to that of the free group with the same number of generators. We prove that this is in fact the…

math.GR2004★ 1 cited

Cogrowth and spectral gap of generic groups

Yann Ollivier

We prove that that for all $\eps$, having cogrowth exponent at most $1/2+\eps$ (in base $2 m - 1$ with $m$ the number of generators) is a generic property of groups in the density mod…