Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homotopy type and v1-periodic homotopy groups of p-compact groups   We determine the v1-periodic homotopy groups of all irreducible p-compact
groups (BX,X). In the most difficult, modular, cases, we follow a direct path
from their associated invariant polynomials to these homotopy groups. We show
that, if p is odd, every irreducible p-compact group has X of the homotopy type
of a product of explicit spaces related to p-completed Lie groups.

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga