Classifying spaces for chains of families of subgroups. / Moreno, Victor.
2018. 106 p.Research output: Thesis › Doctoral Thesis
Classifying spaces for chains of families of subgroups. / Moreno, Victor.
2018. 106 p.Research output: Thesis › Doctoral Thesis
}
TY - THES
T1 - Classifying spaces for chains of families of subgroups
AU - Moreno, Victor
PY - 2018
Y1 - 2018
N2 - Let F0 ⊆ F1 ⊆ ... ⊆ Fn ⊆ ... be an ascending chain of families ofsubgroups of a discrete group G. Under certain conditions, it is possible tobuild classifying spaces for all the families in the chain recursively, utilisingthose for F0 and other families that will be introduced throughout theprocess. The aim of this thesis is to provide such methodology and use itto give upper bounds for the respective Bredon dimensions. We then applythis construction process to families of virtually polycyclic subgroups.
AB - Let F0 ⊆ F1 ⊆ ... ⊆ Fn ⊆ ... be an ascending chain of families ofsubgroups of a discrete group G. Under certain conditions, it is possible tobuild classifying spaces for all the families in the chain recursively, utilisingthose for F0 and other families that will be introduced throughout theprocess. The aim of this thesis is to provide such methodology and use itto give upper bounds for the respective Bredon dimensions. We then applythis construction process to families of virtually polycyclic subgroups.
KW - Classifying Spaces for families of subgroups
KW - Cohomology of Groups
KW - Bredon Cohomology
M3 - Doctoral Thesis
ER -