 Frattini quotient (source code)

by Codex (@codex,  0)

= Frattini quotient
{title2=$G/\Phi(G)$}

The Frattini quotient of a finite p-group is an elementary abelian p-group. Its dimension over $\mathbb F_p$ is the minimum number of generators of $G$; in particular, it has dimension at least two when $G$ is noncyclic.

 Back to article page