In mathematics, a quasi-finite field is a generalisation of a finite field. Standard local class field theory usually deals with complete valued fields whose residue field is finite (i.e., non-archimedean local fields), but the theory applies equally well when the residue field is only assumed quasi-finite.
In mathematics, a quasi-finite field is a generalisation of a finite field. Standard local class field theory usually deals with complete valued fields whose residue field is finite (i.e., non-archimedean local fields), but the theory applies equally well when the residue field is only assumed quasi-finite.
Source: Wikipedia "Quasi-finite field" · CC BY-SA 4.0
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