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Class Numbers of Totally Imaginary Quadratic Extensions of Totally Real Fields

โœ Scribed by Judith S. Sunley


Book ID
125685470
Publisher
American Mathematical Society
Year
1973
Tongue
English
Weight
495 KB
Volume
175
Category
Article
ISSN
0002-9947

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Let p be an odd regular prime number. We prove that there exist infinitely many totally real number fields k of degree p&1 whose class numbers are not divisible by p. Moreover, for certain regular prime number p, we prove that there exist infinitely many totally real number fields k of degree p&1 wh