The cohomology of groups arose from three different sources during the first half of the 20th
century. The earliest appearance of the low degree homology and cohomology groups took …

This chapter is about topological models for a group G: these are the socalled K (G, 1)-
complexes with fundamental group G and contractible universal cover. We then proceed to …

In this paper we will discusss certain properties of direct products. We will especially be
concerned with the following questions:(a) If G~ AXG~ BXC, must A and B be isomorphic?(b) …

We show that for certain compact right topological groups,. Amongst the groups for which
this holds is the class of equicontinuous groups which have been studied by Ruppert in [10] …

In 1977 several eminent mathematicians were invited to Durham to present papers at a short
conference on homological and combinatorial techniques in group theory. The lectures …

First we construct complete totally minimal topological groups which are not locally compact.
Extending and generalizing a construction of S. Dierolf and U. Schwanengel (using semi …

1. Introduction. The purpose of this address is solely expository. It is intended to give the
mathematician who is not an expert in algebraic topology a picture of some of the newer …

THEOBEM (H. Fitting). Every finite group is an extension of a soluble group by a semisimple
group. Thus the study of the theory of finite groups is reduced to the study of soluble groups …

168 DAVID WIGNER be intimately related to the derived functors (in the sense of Yoneda
[7]) of the com-pletion functor. Following Arens|| 1 l, we call a directed inverse system [A …

Every topological space is the image of some topological group under a continuous open
map [1]. Moreover, for any space X there exists a nonempty space Y such that the product X …