Element structure of general linear group of degree two

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 * Element structure of general linear group of degree two over a field: Discussion for $$GL(2,K)$$, $$K$$ any field. The discussion involves a large number of cases based on the nature of $$K$$.
 * Element structure of general linear group of degree two over a finite field: Discussion for $$GL(2,q) = GL(2,\mathbb{F}_q)$$, $$q$$ a prime power. This is a more manageable and concrete discussion than the generic case.
 * Element structure of general linear group of degree two over a finite discrete valuation ring