Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blocks with normal abelian defect and abelian p' inertial quotient   Let $k$ be an algebraically closed field of characteristic $p$, and let
$\mathcal{O}$ be either $k$ or its ring of Witt vectors $W(k)$. Let $G$ a
finite group and $B$ a block of $\mathcal{O}G$ with normal abelian defect group
and abelian $p'$ inertial quotient. We show that $B$ is isomorphic to its
second Frobenius twist. This is motivated by the fact that bounding Frobenius
numbers is one of the key steps towards Donovan's conjecture. For
$\mathcal{O}=k$, we give an explicit description of the basic algebra of $B$ as
a quiver with relations. It is a quantised version of the group algebra of the
semidirect product $P\rtimes L$.

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The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
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The categories of this paper are: econ
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin