Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On loop extensions and cohomology of loops   In this paper are defined cohomology-like groups that classify loop
extensions satisfying a given identity in three variables for association
identities, and in two variables for the case of commutativity. It is
considered a large amount of identities. This groups generalize those defined
in works of Nishigori [2] and of Jhonson and Leedham-Green [4]. It is computed
the number of metacyclic extensions for trivial action of the quotient on the
kernel in one particular case for left Bol loops and in general for commutative
loops.

36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex