Geodesic
Virtually cyclic dimension for 3-manifold groups
Kyle Joecken1 ; Jean-François Lafont1 orcid ; Luis Jorge Sánchez Saldaña2
1The Ohio State University, Columbus, USA
2Universidad Nacional Autónoma de México, Mexico
Groups, geometry, and dynamics, Tome 15 (2021) no. 2, pp. 577-606

Voir la notice de l'article provenant de la source EMS Press

DOI

Let Γ be the fundamental group of a connected, closed, orientable 3-manifold. We explicitly compute its virtually cyclic geometric dimension gd​​(Γ). Among the tools we use are the prime and JSJ decompositions of M, acylindrical splittings of groups, several push-out type constructions, as well as some Bredon cohomology computations.
DOI : 10.4171/ggd/607
Classification : 55-XX, 20-XX, 57-XX
Mots-clés : Cohomological dimension, geometric dimension, 3-manifold groups, virtually cyclic groups, acyllindrical splittings, classifying spaces, families of subgroups

Kyle Joecken  1   ; Jean-François Lafont  1   ; Luis Jorge Sánchez Saldaña  2

1 The Ohio State University, Columbus, USA
2 Universidad Nacional Autónoma de México, Mexico 
Kyle Joecken; Jean-François Lafont; Luis Jorge Sánchez Saldaña. Virtually cyclic dimension for 3-manifold groups. Groups, geometry, and dynamics, Tome 15 (2021) no. 2, pp. 577-606. doi: 10.4171/ggd/607
@article{10_4171_ggd_607,
     author = {Kyle Joecken and Jean-Fran\c{c}ois Lafont and Luis Jorge S\'anchez Salda\~na},
     title = {Virtually cyclic dimension for 3-manifold groups},
     journal = {Groups, geometry, and dynamics},
     pages = {577--606},
     year = {2021},
     volume = {15},
     number = {2},
     doi = {10.4171/ggd/607},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/607/}
}
TY  - JOUR
AU  - Kyle Joecken
AU  - Jean-François Lafont
AU  - Luis Jorge Sánchez Saldaña
TI  - Virtually cyclic dimension for 3-manifold groups
JO  - Groups, geometry, and dynamics
PY  - 2021
SP  - 577
EP  - 606
VL  - 15
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/607/
DO  - 10.4171/ggd/607
ID  - 10_4171_ggd_607
ER  - 
%0 Journal Article
%A Kyle Joecken
%A Jean-François Lafont
%A Luis Jorge Sánchez Saldaña
%T Virtually cyclic dimension for 3-manifold groups
%J Groups, geometry, and dynamics
%D 2021
%P 577-606
%V 15
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/607/
%R 10.4171/ggd/607
%F 10_4171_ggd_607

Cité par Sources :