Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group actions on spheres with rank one prime power isotropy   We show that a rank two finite group G admits a finite G-CW-complex X
homotopy equivalent to a sphere, with rank one prime power isotropy, if and
only if G does not p'-involve Qd(p) for any odd prime p. This follows from a
more general theorem which allows us to construct a finite G-CW-complex by
gluing together a given G-invariant family of representations defined on the
Sylow subgroups of G.

15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin