Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A conjecture on B-groups   In this note, I propose the following conjecture: a finite group G is
nilpotent if and only if its largest quotient B-group \beta(G) is nilpotent. I
give a proof of this conjecture under the additional assumption that G be
solvable. I also show that this conjecture is equivalent to the following: the
kernel of restrictions to nilpotent subgroups is a biset-subfunctor of the
Burnside functor.

18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin