JP Journal of Algebra, Number Theory and Applications
Volume 28, Issue 2, Pages 181 - 214
(March 2013)
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EXPONENT TWO IN CLASS GROUPS OF REAL QUADRATIC FIELDS WITH DISCRIMINANT AND PRIME-PRODUCTION OF EULER-RABINOWITSCH POLYNOMIALS
Richard A. Mollin
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Abstract: We provide necessary and sufficient conditions for the class groups of real quadratic fields with to be generated by ambiguous ideals in terms of the prime-production of the related Euler-Rabinowitsch polynomial. This is tantamount to the group having exponent 1 or 2 given in terms of the behaviour of quadratic polynomials. |
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