Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Totally symmetric sets in the general linear group   A totally symmetric set is a finite subset of a group for which any
permutation of the elements can be realized by conjugation in the ambient
group. Such sets are rigid under homomorphisms, and so exert a great deal of
control over the algebraic structure. In this paper we introduce a more general
perspective on total symmetry, and formulate a notion of "irreducibility" for
totally symmetric sets in the general linear group. We classify irreducible
totally symmetric sets, as well as those of maximal cardinality.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn