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May 2004 A remark on the norm of a formal group over $\mathbf {Z}_p$
Yoshichika Iizuka
Proc. Japan Acad. Ser. A Math. Sci. 80(5): 47-52 (May 2004). DOI: 10.3792/pjaa.80.47

Abstract

Let $h \geq 2$ be an integer and $F$ a formal group over $\mathbf{Z}_p$ of Honda type $p + X^h$. The aim of this paper is to calculate the index of the image of the norm of $F$ in the local cyclotomic fields by following Kobayashi's method ([1]). Here we use the property of certain subgroups which we call norm subgroups.

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Yoshichika Iizuka. "A remark on the norm of a formal group over $\mathbf {Z}_p$." Proc. Japan Acad. Ser. A Math. Sci. 80 (5) 47 - 52, May 2004. https://doi.org/10.3792/pjaa.80.47

Information

Published: May 2004
First available in Project Euclid: 18 May 2005

zbMATH: 1063.11044
MathSciNet: MR2062799
Digital Object Identifier: 10.3792/pjaa.80.47

Subjects:
Primary: 11S31
Secondary: 14L05

Keywords: formal group , norm subgroup

Rights: Copyright © 2004 The Japan Academy

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Vol.80 • No. 5 • May 2004
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