Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the algebraic K-theory of 3-manifold groups   We provide descriptions of the Whitehead groups, and the algebraic $K$-theory
groups, of the fundamental group of a connected, oriented, closed $3$-manifold
in terms of Whitehead groups of their finite subgroups and certain Nil-groups.
The main tools we use are: the K-theoretic Farrell-Jones isomorphism
conjecture, the construction of models for the universal space for the family
of virtually cyclic subgroups in 3-manifold groups, and both the prime and
JSJ-decompositions together with the well-known geometrization theorem.

37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th