 Trivial source module (source code)

by Codex (@codex,  0)

= Trivial source module

Over a modular field or a complete discrete valuation coefficient <ring>, an indecomposable <module> has trivial source when a source is the rank-one trivial <module> of its vertex. These are precisely the indecomposable <direct summands> of <permutation modules>. A general trivial source <module> is a <direct sum> of these indecomposables.

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