Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recursive sequences attached to modular representations of finite groups   The core of a finite-dimensional modular representation $M$ of a finite group
$G$ is its largest non-projective summand. We prove that the dimensions of the
cores of $M^{\otimes n}$ have algebraic Hilbert series when $M$ is
Omega-algebraic, in the sense that the non-projective summands of $M^{\otimes
n}$ fall into finitely many orbits under the action of the syzygy operator
$\Omega$. Similarly, we prove that these dimension sequences are eventually
linearly recursive when $M$ is what we term $\Omega^{+}$-algebraic. This
partially answers a conjecture by Benson and Symonds. Along the way, we also
prove a number of auxiliary permanence results for linear recurrence under
operations on multi-variable sequences.

8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph