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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 22, Issue 2, Pages 155 - 174 (September 2011)

2-CLASS GROUP OF QUADRATIC FIELDS

Alejandro Aguilar-Zavoznik and Mario Pineda-Ruelas

Abstract:

We find explicitly the 2-class group of a quadratic field. We use this result to give a criterion to decide whether an ideal is principal if the exponent of ï¿½is 2.

Keywords and phrases:

quadratic field, 2-class group.

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