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On the Fueter Model and Monogeneity of Rings of Integers

✍ Scribed by A. Srivastav; S. Venkataraman

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 239 KB
Volume: 43
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1993.1005

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✦ Synopsis

Let (K) be an imaginary quadratic field in which 2 splits. If (\hat{i}) is an integral ideal, let (K(i)) denote the ray class field with ray (i). Ph. Cassou-Noguès and M. J. Taylor (J. London Math. Soc. (2), 37, 1988, p. 65. Theorem 2) show that (K(j)) is monogenic over (K(1)), the Hilbert class field of (K), if (f) is coprime to 2 . Moreover, the generator involved is given in terms of torsion values of the Fueter function. In this paper we remove the restriction that (i, 2()=1). 1993 Academic Press. Inc.

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