Elementary Abelian operator groups.
Elementary Abelian p-groups as Automorphism Groups of Infinite Groups. I.
Endomorphism of Polycyclic Groups.
Endomorphisms of Polycyclic Groups.
Equalizers and coactions of groups
If f:G → H is a group homomorphism and p,q are the projections from the free product G*H onto its factors G and H respectively, let the group be the equalizer of fp and q:G*H → H. Then p restricts to an epimorphism . A right inverse (section) of is called a coaction on G. In this paper we study and the sections of . We consider the following topics: the structure of as a free product, the restrictions on G resulting from the existence of a coaction, maps of coactions and the resulting...
Equivariant outer space and automorphisms of free-by-finite groups.
Experimenting with infinite groups. I.
Extension and reconstruction theorems for the Urysohn universal metric space
We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. As an application, we prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.
Extensions realising a faithful abstract kernel and their automorphisms.