 Vertex of an indecomposable module (source code)

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= Vertex of an indecomposable module
{wiki=Vertex_(representation_theory)}

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.

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