Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interval enforceable properties of finite groups   We propose a classification of group properties according to whether they can
be deduced from the assumption that a group's subgroup lattice contains an
interval isomorphic to some lattice. We are able to classify a few group
properties as being "interval enforceable" in this sense, and we establish that
other properties satisfy a weaker notion of "core-free interval enforceable."
We also show that if there exists a group property and its negation that are
both core-free interval enforceable, this would settle an important open
question in universal algebra.

24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph