Euler Characteristics of Groups: The p-Fractional Part.
Every Finite Complex has the Homology of a Duality Group.
Explicit resolutions for the binary polyhedral groups and for other central extensions of the triangle gorups.
Extension of complexes of groups
Complexes of groups over ordered simplicial complexes are generalizations to higher dimensions of graphs of groups. We first relate them to complexes of spaces by considering their classifying space . Then we develop their homological algebra aspects. We define the notions of homology and cohomology of a complex of groups with coefficients in a -module and show the existence of free resolutions. We apply those notions to study extensions of complexes of groups with constant or abelian kernel....
Extension theories for monoids.
Extensions realising a faithful abstract kernel and their automorphisms.
Farrell cohomology and Brwon theorems for profinite groups.
Finiteness of a non-abelian tensor product of groups.
Finiteness Properties of Duality Groups
Finiteness properties of soluble arithmetic groups over global function fields.
Five dimensional Bieberbach groups with trivial centre.
Frattini Covers and Projective Groups Without the Extension Property.
Further remarks on systems of interlocking exact sequences.
General linear and functor cohomology over finite fields.
Generalised Swan modules and the D(2) problem.
Generalized Cotorsion Locally Compact abelian Groups
Group Extensions and Splitting Modules.
Group extensions, crossed pairs and an eight term exact sequence.
Groups of finite quasi-projective dimension.
Groups with Homological Duality Generalizing Poincaré Duality.