Element structure of general linear group over a finite field

This article describes the element structure of the general linear group of finite degree over a finite field, i.e., a group of the form $$GL(n,\mathbb{F}_q)$$, also denoted $$GL(n,q)$$, defined as the general linear group of degree $$n$$ over the (unique up to isomorphism) field of size $$q$$.

This builds on conjugacy class size formula in general linear group over a finite field.