F{o}lner Nets for Semidirect Products of Amenable Groups

Canadian mathematical bulletin

关键词: isoperimetric functions;    Dehn functions;    hyperbolic groups;   

DOI  :  10.4153/CMB-2008-008-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

For unimodular semidirect products of locally compact amenablegroups $N$ and $H$, we show that one can always construct aF{o}lner net of the form $(A_alpha imes B_eta)$ for $G$, where$(A_alpha)$ is a strong form of F{o}lner net for $N$ and$(B_eta)$ is any F{o}lner net for $H$. Applications to theHeisenberg and Euclidean motion groups are provided.

【 授权许可】

Unknown