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Valuation Group

Let (K,|·|) be a valuated field. The valuation group G is defined to be the set

G={|x|:x in K,x!=0},

with the group operation being multiplication. It is a subgroup of the positive real numbers, under multiplication.

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Cite this as:

Weisstein, Eric W. "Valuation Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ValuationGroup.html

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