Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group actions on filtered modules and finite determinacy. Finding large
  submodules in the orbit by linearization   Fix a module M over a local ring R and a group action G on M, not necessarily
R-linear. To understand how large is the G-orbit of an element z\in M one looks
for the large submodules of M lying in Gz. We provide the corresponding
(necessary/sufficient) conditions in terms of the tangent space to the orbit,
T_{(Gz,z)}.
  This question originates from the classical finite determinacy problem of
Singularity Theory. Our treatment is rather general, in particular we extend
the classical criteria of Mather (and many others) to a broad class of rings,
modules and group actions.
  When a particular `deformation space' is prescribed, \Sigma\subseteq M, the
determinacy question is translated into the properties of the tangent spaces,
T_{(Gz,z)}, T_{(\Si,z)}, and in particular to the annihilator of their
quotient.

36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th