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## rt.illustration concept – Definition of an irreducible subgroup, and how one can inform if any subgroup of $mathrm{GL}_{n}(p)$ is irreducible

I’m not precisely positive what the rectify definition of an “irreducible subgroup” is. I need an visceral definition of what an irreducible subgroup is, within the easiest and most pedagogical phrases, as cheap as workable.

As a secondary query, I might too love to know if a particular subset of $ mathrm {GL} _ {n} (p) $ (the whole group of linear automorphisms from an $ n $-dimensional vector area over a finite first-order Galois bailiwick $ p $) is irreducible.

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