As a second year graduate textbook, Cohomology of Groups introduces students to
cohomology theory (involving a rich interplay between algebra and topology) with a …

An" identity among relations" is for a presentation of a group what a" syzygy among
relations", as considered by Hilbert, is for a presentation of a module. The notion has …

Let KF be the group algebra over the commutative field K of the free group F. It is proved that
the field generated by KF in any Mal'cev-Neumann embedding for KF is the universal field of …

A fundamental object of study in group theory is the lower central series of groups.
Understanding its relationship with the dimension series, which consists of the subgroups …

The most important invariant of a topological space is its fundamental group. When this is
trivial, the resulting homotopy theory is well researched and familiar. In the general case …

This manuscript is not finished. Most of it is in nearly final form, whereas Chapters 8 and 25
are still under construction. Comments are very welcome. The Isomorphism Conjectures due …

Page 1 Lecture Notes in Mathematics I. Reiner KW Roggenkamp Integral Representations 744
Topics in Integral Representation Theory. Integral Representations and Presentations of Finite …

Дается обзор работ по следующим темам: комбинаторная теория групп, многообразия
групп, периодические группы, разрешимые группы, финитно-аппроксимируемые группы …

Using stably free non-free relation modules we construct an infinite collection of 2–
dimensional homotopy types, each of Euler-characteristic one and with trefoil fundamental …

Abstract group theory as an independent area of mathematics has been around for a little
more than 50 years. At the present time it can be characterized as an intensively developing …