Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Galois scaffolds and semistable extensions   Let $K$ be a local field and let $L/K$ be a totally ramified Galois extension
of degree $p^n$. Being semistable and possessing a Galois scaffold are two
conditions which facilitate the computation of the additive Galois module
structure of $L/K$. In this note we show that $L/K$ is semistable if and only
if $L/K$ has a Galois scaffold. We also give sufficient conditions in terms of
Galois scaffolds for the extension $L/K$ to be stable.

26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th