John Groves

L. G. Kovács and varieties of groups

JRJ Groves

Journal article  |  2017  |  Journal of the Australian Mathematical Society

This is a short account of some of the work of L. G. (Laci) Kovács on varieties of groups.

Fitting quotients of finitely presented abelian-by-nilpotent groups

JRJ Groves, Ralph Strebel

Journal article  |  2014  |  JOURNAL OF GROUP THEORY

We show that every finitely generated nilpotent group of class 2 occurs as the quotient of a finitely presented abelian-by-nilpote..

Soluble groups with a finiteness condition arising from Bredon cohomology

JRJ Groves, John S Wilson

Journal article  |  2013  |  BULLETIN OF THE LONDON MATHEMATICAL SOCIETY

It is proved that a soluble group of Bredon type FP0 with respect to the class of virtually cyclic groups must itself be virtually..

Subdirect products of finitely presented metabelian groups

JRJ Groves

Journal article  |  2012  |  JOURNAL OF PURE AND APPLIED ALGEBRA

There has been substantial investigation in recent years of subdirect products of limit groups and their finite presentability and..

Nilpotent-by-abelian Lie algebras of type FPm

JRJ Groves, Dessislava H Kochloukova

Journal article  |  2010  |  MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

Let L be a finitely generated Lie algebra which is a split extension of a free nilpotent Lie algebra N by a finite dimensional abe..

Abelian-by-polycyclic groups of homological type FP3

JRJ Groves, DH Kochloukova, CF Rodrigues

Journal article  |  2008  |  JOURNAL OF GROUP THEORY

We show that abelian-by-polycyclic groups of homological type FP 3 are virtually nilpotent-by-abelian; this generalizes earlier re..

Embedding properties of metabelian Lie algebras and metabelian discrete groups

JRJ Groves, DH Kochloukova

Journal article  |  2006  |  JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

We show that for every natural number m a finitely generated metabelian group G embeds in a quotient of a metabelian group of type..

Some infinite soluble groups, their modules, and the arithmeticity of associated automorphism groups

CJB Brookes, JRJ Groves

Journal article  |  2005  |  JOURNAL OF ALGEBRA

Homological finiteness properties of Lie algebras

JRJ Groves, DH Kochloukova

Journal article  |  2004  |  JOURNAL OF ALGEBRA

We apply the main ideas behind the group theoretic methods developed in [P.H. Kropholler, Bull. London Math. Soc. 25 (1993) 558-56..

Modules over crossed products of a division ring by a free abelian group II

CJB Brookes, JRJ Groves

Journal article  |  2002  |  JOURNAL OF ALGEBRA