This paper studies the set of finite groups appearing as , where is a closed, orientable –manifold and denotes the term of the derived series of . Our main result is that if is a closed, orientable –manifold, , and is finite, then the cup-product pairing has cyclic image , and the pairing is isomorphic to the linking pairing .
Algebr. Geom. Topol.
15(6):
3355-3369
(2015).
DOI: 10.2140/agt.2015.15.3355