Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Donovan's conjecture and extensions by the centralizer of a defect group   We consider Donovan's conjecture in the context of blocks of groups $G$ with
defect group $D$ and normal subgroups $N \lhd G$ such that $G=C_D(D\cap N)N$,
extending similar results for blocks with abelian defect groups. As an
application we show that Donovan's conjecture holds for blocks with defect
groups of the form $Q_8 \times C_{2^n}$ or $Q_8 \times Q_8$ defined over a
discrete valuation ring.

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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: physics