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p-Ranks of Class Groups of Witt Equivalent Number Fields

✍ Scribed by Kazimierz Szymiczek

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 136 KB
Volume: 78
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1999.2397

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✦ Synopsis

We prove that, for each prime p dividing n, every infinite class of Witt equivalent number fields of degree n 2 contains a field with the p-rank of the ideal class group exceeding any given number.

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