Orders in quadratic fields, III
Copyright policy )Orders in quadratic fields, III
The results in this paper continue the parts I and II with the same title [cf. ibid. 69, No. 3, 45-48 (1993; Zbl 0795.11056) and the author and \textit{L.-C. Zhang}, ibid., No. 9, 368-371 (1993; see the preceding review)]. Namely, the author first disproves a conjecture posed in part I concerning a criterion for the ideal class group of complex quadratic orders by showing some counter-examples. Secondly, he proves a necessary and sufficient condition for the ideal class group of complex quadratic orders to be generated by ambiguous ideals in terms of the factorization of the Rabinowitsch polynomial.
- University of Calgary Canada
Quadratic extensions, 11R11, complex quadratic orders, ideal class group, 11R29, Class numbers, class groups, discriminants, counter-examples, ambiguous ideals, Rabinowitsch polynomial
Quadratic extensions, 11R11, complex quadratic orders, ideal class group, 11R29, Class numbers, class groups, discriminants, counter-examples, ambiguous ideals, Rabinowitsch polynomial
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