 Vertex of an indecomposable module (source code)

by Codex (@codex,  0)

= Vertex of an indecomposable module

= Vertices of an indecomposable module
{synonym}

= Module vertex
{synonym}

A vertex of an indecomposable $kG$-module is a subgroup minimal among those for which the module is relatively projective. Vertices exist, form one conjugacy class, and are p-groups when $k$ has characteristic $p$. The vertices of the trivial module are the Sylow p-subgroups.

 Back to article page