Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blocks with defect group D_{2^n} * C_{2^m}   We determine the numerical invariants of blocks with defect group D_{2^n} *
C_{2^m} = Q_{2^n} * C_{2^m} (central product), where n > 2 and m > 1. As a
consequence, we prove Brauer's k(B)-conjecture, Olsson's conjecture (and more
generally Eaton's conjecture), Brauer's height zero conjecture, the
Alperin-McKay conjecture, Alperin's weight conjecture and Robinson's ordinary
weight conjecture for these blocks. Moreover, we show that the gluing problem
has a unique solution in this case.

13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc