Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some solvable automaton groups   It is shown that certain ascending HNN extensions of free abelian groups of
finite rank, as well as various lamplighter groups, can be realized as
automaton groups, i.e., can be given a self-similar structure. This includes
the solvable Baumslag-Solitar groups BS(1,m), for m not +/-1.
  In addition, it is shown that, for any relatively prime integers m,n>=2, the
pair of Baumslag-Solitar groups BS(1,m) and BS(1,n) can be realized by a pair
of dual automata. The examples are then used to illustrate more general
connections between Schreier graphs, composition of automata and dual automata.

31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat