Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Index formulae for integral Galois modules   We prove very general index formulae for integral Galois modules,
specifically for units in rings of integers of number fields, for higher
K-groups of rings of integers, and for Mordell-Weil groups of elliptic curves
over number fields. These formulae link the respective Galois module structure
to other arithmetic invariants, such as class numbers, or Tamagawa numbers and
Tate-Shafarevich groups. This is a generalisation of known results on units to
other Galois modules and to many more Galois groups, and at the same time a
unification of the approaches hitherto developed in the case of units.

10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph