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| Paper IPM / M / 16694 |
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| Abstract: | |
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For L/K a finite extension of algebraic number fields, L may or may not have a relative integral basis over K. In this paper, we show the existence of relative integral basis of a biquadratic field L=\mathbbQ(√m,√n) over its quadratic subfield K=\mathbbQ(√m) is equivalent to that K is a Pólya field, or equivalently all strongly ambiguous ideal classes of K are trivial.
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