publiée le 30 avril 2025
Around proper actions on homogeneous spaces (Part 3a/3)
De Maciej Bocheński
Relative growth of subgroups in finitely generated groups
Apparaît dans la collection : 2014 - T1 - WS1 - Asymptotic properties of groups
Let $H$ be a subgroup of a finitely generated group $G$. The (relative) growth function $f(n)$ of $H$ with respect to a finite set $A$ generating $G$, is given by the formula $f(n) = card \{g\in H; |g|_A \le n}$. I want to review some recent results on the asymptotic behavior of relative growth functions in free, solvable and other groups.
