Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Groups of triangular automorphisms of a free associative algebra and a
  polynomial algebra   We study a structure of the group of unitriangular automorphisms of a free
associative algebra and a polynomial algebra and prove that this group is a
semi direct product of abelian groups. Using this decomposition we describe a
structure of the lower central series and the series of derived subgroups for
the group of unitriangular automorphisms and prove that every element from the
derived subgroup is a commutator. In addition we prove that the group of
unitriangular automorphisms of a free associative algebra of rang more than 2
is not linear and describe some two-generated subgroups from these group. Also
we give a more simple system of generators for the group of tame automorphisms
than the system from Umirbaev's paper.

36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph