Communications in Analysis and Geometry
Volume 26 (2018)
$3$-manifolds and generalized Baumslag–Solitar groups
Pages: 571 – 584
This article studies the relationship between $3$-manifolds and generalized Baumslag–Solitar groups. We classify the generalized Baumslag–Solitar groups that are fundamental groups of compact orientable $3$-manifolds. More generally, we show that many generalized Baumslag–Solitar groups which are not $3$-manifold groups are special types of quotients of generalized Baumslag–Solitar groups.
generalized Baumslag–Solitar group, $3$-manifold group
2010 Mathematics Subject Classification
Primary 20E06, 57M07. Secondary 57M15, 57M20.
Received 15 May 2013
Published 27 July 2018