On groups of type (FP)

@article{Kropholler1993OnGO,
  title={On groups of type (FP)},
  author={Peter H. Kropholler},
  journal={Journal of Pure and Applied Algebra},
  year={1993},
  volume={90},
  pages={55-67}
}
  • P. Kropholler
  • Published 19 November 1993
  • Mathematics
  • Journal of Pure and Applied Algebra
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123 Citations
Highly Influential Citations
21
Background Citations
42
Methods Citations
13
Results Citations
2

123 Citations

On profinite groups of type FP

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Groups acting on nite dimensional spaces with nite stabilizers

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☆

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

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…
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References

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Linear groups of finite cohomological dimension

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…

Products in negative cohomology

Complete cohomological functors on groups

Tate cohomology for arbitrary groups via satellites

Groups Acting on Graphs

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…

Soluble groups of type (FP)? have finite torsion-free rank

Cohomological dimension of soluble groups

An infinite-dimensional torsion-freeFP∞ group

Metabelian Groups of Type (FP)∞ are Virtually of Type (FP)

Homological dimension and Farrell cohomology