Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rota-Baxter operators on groups   Theory of Rota-Baxter operators on rings and algebras has been developed
since 1960. Recently, L. Guo, H. Lang, Y. Sheng [arXiv:2009.03492] have defined
the notion of Rota-Baxter operator on a group. We provide some general
constructions of Rota-Baxter operators on a group. Given a map on a group, we
study its extensions to a Rota-Baxter operator. We state the connection between
Rota-Baxter operators on a group and Rota-Baxter operators on an associated Lie
ring. We describe Rota-Baxter operators on sporadic simple groups.

28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
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The categories of this paper are: solv-int