Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiconjugacy of Quasiperiodic Flows and Finite Index Subgroups of
  Multiplier Groups   It will be shown that if $\phi$ is a quasiperiodic flow on the $n$-torus that
is algebraic, if $\psi$ is a flow on the $n$-torus that is smoothly conjugate
to a flow generated by a constant vector field, and if $\phi$ is smoothly
semiconjugate to $\psi$, then $\psi$ is a quasiperiodic flow that is algebraic,
and the multiplier group of $\psi$ is a finite index subgroup of the multiplier
group of $\phi$. This will partially establish a conjecture that asserts that a
quasiperiodic flow on the $n$-torus is algebraic if and only if its multiplier
group is a finite index subgroup of the group of units of the ring of integers
in a real algebraic number field of degree $n$.

29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci