Let $\pi $ be ${Z_m}\times {Z_n} $. In this paper the homotopy types of finite connected two
dimensional CW-complexes with fundamental group $\pi $ are shown to depend only on the …

Let G be a finite group given in one of the forms listed in the title with period 2d and X (n) an
n-dimensional CW-complex with the homotopy type of an n-sphere. We study the …

HOPFIAN AND CO-HOPFIAN G-CW-COMPLEXES 1. Introduction The notion of a Hopfian
and a co-Hopfian object of a category is fairly we Page 1 PROCEEDINGS OF THE …

For all $ k\ge 2$, we show that there exists a group $ G $ and a non-free stably free
$\mathbb {Z} G $-module of rank $ k $. We use this to show that, for all $ k\ge 2$, there exist …

Abstract Following ideas of Graeme Segal [Segal (1973)],[Segal (1968)], Christian
Schlichtkrull [Schlichtkrull (2007)] and Kazuhisa Shimakawa [Shimakawa (1989)] we …

Consider a commutative simplicial ring B which is an algebra over the rational numbers. We
show that the homotopy theory of simplicial B-modules and the stable homotopy theory of …

We survey some results in the field of equivariant cobordism. In particular, we use methods
from equivariant stable homotopy theory to calculate the unoriented $ C_2 $-equivariant …

Johnson's characterization of amenable groups states that a discrete group $\Gamma $ is
amenable if and only if $ H_b^{n\geq 1}(\Gamma; V)= 0$ for all dual normed $\mathbb …

In this paper, we calculate the 2-local unstable homotopy groups of indecomposable
$\mathbf {A} _3^ 2$-complexes. The main technique used is analysing the homotopy …

In previous work, we related homotopy types of finite-complexes when has periodic
cohomology to projective-modules representing the Swan finiteness obstruction. We use this …