On Galois actions on p-power torsion points of some one-dimensional formal groups over \({\mathbb{F}}_ p[[t]]\). (English) Zbl 0644.14017

Fujiwara, Yasushi

J. Algebra 113, No. 2, 491-510 (1988).

From the introduction: “We shall prove a certain theorem on the kernel of the \(p\)-adic representation \(\text{Gal}(K^{sep}/K)\to {\mathbb{Z}}^{\times}_ p\) of the absolute Galois group over \(K={\mathbb{F}}_ p(t))\) arising from a formal group of some type, including in particular the formal completion of an ordinary elliptic curve over \(K\) having good super-singular reduction.”

Reviewer: F.Baldassarri

MSC:

14L05	Formal groups, \(p\)-divisible groups
13F25	Formal power series rings
14L30	Group actions on varieties or schemes (quotients)
14H99	Curves in algebraic geometry

Keywords:

p-adic representation of the absolute Galois group; formal group; elliptic curve; good super-singular reduction

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