Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on $d$-maximal $p$-groups I   A finite $p$-group $G$ is said to be $d$-maximal if $d(H)<d(G)$ for every
subgroup $H<G$, where $d(G)$ denotes the minimal number of generators of $G$. A
similar definition can be formulated when $G$ is acted on by some group $A$. We
generalize results of B. Kahn and T. Laffey to the latter case, and give them
in particular alternative short proofs. We answer moreover a question of Y.
Berkovich about the minimal non-metacyclic $p$-groups.

15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin