Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 15, Number 6 (2015), 3355-3369.
On finite derived quotients of $3$–manifold groups
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., Volume 15, Number 6 (2015), 3355-3369.
Received: 30 July 2014
Revised: 13 April 2015
Accepted: 13 April 2015
First available in Project Euclid: 16 November 2017
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Cavendish, Will. On finite derived quotients of $3$–manifold groups. Algebr. Geom. Topol. 15 (2015), no. 6, 3355--3369. doi:10.2140/agt.2015.15.3355. https://projecteuclid.org/euclid.agt/1510841070