Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal subgroups and irreducible representations of generalised
  multi-edge spinal groups   Let $p\ge 3$ be a prime. A generalised multi-edge spinal group is a subgroup
of the automorphism group of a regular $p$-adic rooted tree T that is generated
by one rooted automorphism and $p$ families of directed automorphisms, each
family sharing a common directed path disjoint from the paths of the other
families.
  This notion generalises the concepts of multi-edge spinal groups, including
the widely studied GGS-groups, and the extended Gupta-Sidki groups that were
introduced by Pervova. Extending techniques that were developed in these more
special cases, we prove: generalised multi-edge spinal groups that are torsion
have no maximal subgroups of infinite index. Furthermore we use tree enveloping
algebras, which were introduced by Sidki and Bartholdi, to show that certain
generalised multi-edge spinal groups admit faithful infinite dimensional
irreducible representations over the prime field $\mathbb{Z}/p\mathbb{Z}$.

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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th