# non-generator

Let $G$ be a group. $g\in G$ is said to be a non-generator if whenever $X$ is a generating set for $G$ then $X\smallsetminus\{g\}$ is also a generating set for $G$.

Title non-generator Nongenerator 2013-03-22 12:23:43 2013-03-22 12:23:43 Evandar (27) Evandar (27) 4 Evandar (27) Definition msc 20E99 nongenerator FrattiniSubgroup Generator