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KASH3 Reference Manual
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Function

UnitRank ( ord^fun O ) -> elt-ord^rat

Description

The rank of the unit group of the finite maximal order O.

Examples

x_f5 := FiniteField(5); x_f5t := PolynomialAlgebra(x_f5); x_f5ty := PolynomialAlgebra(x_f5t); x_k := FunctionField(x_f5ty.1^4-2*x_f5t.1^10*x_f5ty.1^3+x_f5t.1); x_O := MaximalOrderFinite(x_k); UnitRank(x_O);
Built: Mon Nov 14 21:12:39 UTC 2005 on mack
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