## 123 Citations

### Projective Resolutions for Modules over Infinite Groups

- Mathematics
- 2010

We define a notion of complexity for modules over group rings of infinite groups. This generalizes the notion of complexity for modules over group algebras of finite groups. We show that if M is a…

### A Criterion for Projective Modules

- Mathematics
- 2007

In case G is a finite group, there is a well-known criterion for projective modules: A ℤ G-module M is projective if and only if it is ℤ -free and has finite projective dimension. We first…

### Homological Finiteness Conditions for Modules Over Group Algebras

- Mathematics
- 1998

We develop a theory of modules of type FP∞ over group algebras of hierarchically decomposable groups. This class of groups is denoted hF and contains many different kinds of discrete groups including…

### SIGMA THEORY AND TWISTED CONJUGACY CLASSES

- Mathematics
- 2010

Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index in Aut.G/ such that for ’ 2 H the Reidemeister number R.’/ is infinite. This includes all finitely…

### Some groups of type VF

- Mathematics
- 2003

Abstract.A group is of type VF if it has a finite-index subgroup which has a finite classifying space. We construct groups of type VF in which the centralizers of some elements of finite order are…

### Groups acting on nite dimensional spaces with nite stabilizers

- Mathematics
- 1998

It is shown that every HF-group G of type FP1 admits a nite dimensional G-CW- complex X with nite stabilizers and with the additional property that for each nite subgroup H, the xed point subspace X…

### Complexity and Varieties for Infinite Groups, I☆

- Mathematics
- 1997

This two-part paper generalizes the usual notion of complexity and varieties for modules over the group algebra of a finite group, to a large class of infinite groups. The context is modules of…

### 2 4 Fe b 20 05 On Cohomology rings of infinite groups

- Mathematics
- 2008

Let R be any ring (with 1), Γ a group and RΓ the corresponding group ring. Let Ext∗ RΓ (M,M) be the cohomology ring associated to the RΓ-module M . Let H be a subgroup of finite index of Γ which…

## References

SHOWING 1-10 OF 12 REFERENCES

### Linear groups of finite cohomological dimension

- Mathematics
- 1981

Our main result provides necessary and sufficient conditions for a finitelygenerated subgroup of GLn(C), n > 0, to have finite virtual cohomological dimension. A group has finite virtual…

### Groups Acting on Graphs

- Mathematics
- 1989

Preface Conventions 1. Groups and graphs 2. Cutting graphs and building trees 3. The almost stability theorem 4. Applications of the almost stability theorem 5. Poincare duality 6. Two-dimensional…