Classifying spaces for chains of families of subgroups - Research

Home > Mathematics home > Research > Profile > Publications > Classifying spaces for chains of families of subgroups

Classifying spaces for chains of families of subgroups. / Moreno, Victor.

2018. 106 p.

Research output: Thesis › Doctoral Thesis

Unpublished

Standard

Classifying spaces for chains of families of subgroups. / Moreno, Victor.

2018. 106 p.

Research output: Thesis › Doctoral Thesis

BibTeX

@phdthesis{b14cae9dee0246b8bdeb87be386d5613,

title = "Classifying spaces for chains of families of subgroups",

abstract = "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.",

keywords = "Classifying Spaces for families of subgroups, Cohomology of Groups, Bredon Cohomology",

author = "Victor Moreno",

year = "2018",

language = "English",

school = "Royal Holloway, University of London",

}

RIS

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 -