Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 2-Groups that factorise as products of cyclic groups, and regular
  embeddings of complete bipartite graphs   We classify those 2-groups G which factorise as a product of two disjoint
cyclic subgroups A and B, transposed by an automorphism of order 2. The case
where G is metacyclic having been dealt with elsewhere, we show that for each
e>2 there are exactly three such non-metacyclic groups G with $|A|=|B|=2^e$,
and for e=2 there is one. These groups appear in a classification by Berkovich
and Janko of 2-groups with one non-metacyclic maximal subgroup; we enumerate
these groups, give simpler presentations for them, and determine their
automorphism groups.

18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th