I know that some subgroups of the General Linear group of order to are Isomorphic to some subgroups of $Z_n$ and I wondered if this can be generalized. I stated homomorphism because I am trying to make the question as general as possible but if it turns out that there is an isomorphism as well that would be great.
2026-03-31 07:53:00.1774943580
Is there a homomorphism from the general linear group of order n to the real numbers?
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$\det: GL(n,\mathbb R) \to \mathbb R^\times$ is a (surjective) homomorphism.