Cesaro asymptotics for the orders of SL_k(Z_n)$ and GL_k(Z_n) as n -> infinity

Alexey G. Gorinov, Sergey V. Shadchin

Given an integer k>0, our main result states that the sequence of orders of the groups SL_k(\Z_n) (respectively, of the groups GL_k(Z_n)) is Cesaro equivalent as n -> infinity to t…