Research output: Contribution to journal › Article › peer-review
For a fixed rational prime number p, consider a chain of finite extensions of fields K0/ℚp, K/K0, L/K, and M/L, where K/K0 is an unramified extension and M/L is Galois extension with Galois group G. Suppose that a one-dimensional Honda formal group F over the ring OK relative to the extension K/K0 and a uniformizing element π ∈ K0 is given. This paper studies the structure of F(mM) as an OK0[G]-module for an unramified p-extension M/L provided that WF∩F(mL)=WF∩F(mM)=WFs for some s ≥ 1, where WF s is the πs-torsion and WF = ∪n=1 ∞WF n is the complete π-torsion of a fixed algebraic closure Kalg of the field K.
Original language | English |
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Pages (from-to) | 317-321 |
Number of pages | 5 |
Journal | Vestnik St. Petersburg University: Mathematics |
Volume | 51 |
Issue number | 4 |
DOIs | |
State | Published - 1 Oct 2018 |
ID: 51918247