Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the source algebra equivalence class of blocks with cyclic defect
  groups, I   We investigate the source algebra class of a p-block with cyclic defect
groups of the group algebra of a finite group. By the work of Linckelmann this
class is parametrized by the Brauer tree of the block together with a sign
function on its vertices and an endo-permutation module of a defect group. We
prove that this endo-permutation module can be read off from the character
table of the group. We also show that this module is trivial for all cyclic
p-blocks of quasisimple groups with a simple quotient which is a sporadic
group, an alternating group, a group of Lie type in defining characteristic, or
a group of Lie type in cross-characteristic for which the prime p is large
enough in a certain sense.

25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an