Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subgroup S-commutativity degrees of finite groups   The so--called subgroup commutativity degree $sd(G)$ of a finite group $G$ is
the number of permuting subgroups $(H,K) \in \mathrm{L}(G) \times
\mathrm{L}(G)$, where $\mathrm{L}(G)$ is the subgroup lattice of $G$, divided
by $|\mathrm{L}(G)|^2$. It allows us to measure how $G$ is far from the
celebrated classification of quasihamiltonian groups of K. Iwasawa. Here we
generalize $sd(G)$, looking at suitable sublattices of $\mathrm{L}(G)$, and
show some new lower bounds.

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex