Cohomological finiteness conditions for a class of metabelian groups

QA Mathematics

Mullaney, Joseph ; Kropholler, Peter

University:University of Glasgow

Department:School of Mathematics and Statistics

关键词: QA Mathematics;   

Others  :  http://theses.gla.ac.uk/4452/1/2013mullaneyphd.pdf

来源: University of Glasgow

【 摘 要 】

This thesis is concerned with the study of certain metabelian groups which can be viewed as split extensions of a free abelian group Q by a finitely generated Q-module A. In particular we want to know which cohomological finiteness properties these groups possess in order to shed further light on the Bieri-Groves conjecture.