Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On plethysms and Sylow branching coefficients   We prove a recursive formula for plethysm coefficients of the form
$a^\mu_{\lambda,(m)}$, generalising results on plethysms due to
Bruns--Conca--Varbaro and de Boeck--Paget--Wildon. From this we deduce a
stability result and resolve two conjectures of de Boeck concerning plethysms,
as well as obtain new results on Sylow branching coefficients for symmetric
groups for the prime 2. Further, letting $P_n$ denote a Sylow 2-subgroup of
$S_n$, we show that almost all Sylow branching coefficients of $S_n$
corresponding to the trivial character of $P_n$ are positive.

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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
7
The categories of this paper are: hep-th
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: supr-con