On uniform dimensions of finite groups
Tom 89 / 2001
Colloquium Mathematicum 89 (2001), 223-231 MSC: 20D30, 06C99. DOI: 10.4064/cm89-2-7
Let $G$ be any finite group and $L(G)$ the lattice of all subgroups of $G$. If $L(G)$ is strongly balanced (globally permutable) then we observe that the uniform dimension and the strong uniform dimension of $L(G)$ are well defined, and we show how to calculate these dimensions.