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Class Numbers and Iwasawa Invariants of Certain Totally Real Number Fields

✍ Scribed by Dongho Byeon

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 119 KB
Volume: 79
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1999.2433

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✦ Synopsis

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 whose Iwasawa * p -, + p -invariants vanish.

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