Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The inductive Alperin-McKay and blockwise Alperin weight conditions for
  blocks with cyclic defect groups   We verify the inductive blockwise Alperin weight (BAW) and the inductive
Alperin-McKay (AM) conditions introduced by the second author for blocks of
finite quasisimple groups with cyclic defect groups. Furthermore we establish a
criterion that describes conditions under which the inductive AM condition for
blocks with abelian defect groups implies the inductive BAW condition for those
blocks.

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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg