English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

For given rational prime number $p$ consider the tower of finite extensionsof fields $K_0/\mathbb{Q}_p,$ $K/K_0, L/K, M/L$, where $K/K_0$ is unramifiedand $M/L$ is a Galois extension with Galois group $G$. Suppose one dimensionalHonda formal group over the ring $\mathcal{O}_K$, relative to the extension$K/K_0$ and uniformizer $\pi\in K_0$ is given. The operation$x\underset{F}+y=F(x,y)$ sets a new structure of abelian group on the maximalideal $\mathfrak{p}_M$ of the ring $\mathcal{O}_M$ which we will denote by$F(\mathfrak{p}_M)$. In this paper the structure of $F(\mathfrak{p}_M)$ as$\mathcal{O}_{K_0}[G]$-module is studied for specific unramified $p$-extensions$M/L$.

Honda formal group as Galois module in unramified extensions of local fields