Virtually cyclic dimension for 3-manifold groups
Kyle Joecken
The Ohio State University, Columbus, USAJean-François Lafont
The Ohio State University, Columbus, USALuis Jorge Sánchez Saldaña
Universidad Nacional Autónoma de México, Mexico
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Abstract
Let be the fundamental group of a connected, closed, orientable -manifold. We explicitly compute its virtually cyclic geometric dimension . Among the tools we use are the prime and JSJ decompositions of , acylindrical splittings of groups, several push-out type constructions, as well as some Bredon cohomology computations.
Cite this article
Kyle Joecken, Jean-François Lafont, Luis Jorge Sánchez Saldaña, Virtually cyclic dimension for 3-manifold groups. Groups Geom. Dyn. 15 (2021), no. 2, pp. 577–606
DOI 10.4171/GGD/607