Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finiteness properties of profinite groups   Broadly speaking, a finiteness property of groups is any generalisation of
the property of having finite order. A large part of infinite group theory is
concerned with finiteness properties and the relationships between them.
Profinite groups are an important case of this, being compact topological
groups that possess an intimate connection with their finite images. This
thesis investigates the relationship between several finiteness properties that
a profinite group may have, with consequences for the structure of finite and
profinite groups.

36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int