Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The singularity and cosingularity categories of $C^*BG$ for groups with
  cyclic Sylow $p$-subgroups   We construct a differential graded algebra (DGA) modelling certain $A_\infty$
algebras associated with a finite group $G$ with cyclic Sylow subgroups, namely
$H^*BG$ and $H_*\Omega BG^{^\wedge}_p$. We use our construction to investigate
the singularity and cosingularity categories of these algebras. We give a
complete classification of the indecomposables in these categories, and
describe the Auslander--Reiten quiver. The theory applies to Brauer tree
algebras in arbitrary characteristic, and we end with an example in
characteristic zero coming from the Hecke algebras of symmetric groups.

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The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat