Projective Resolutions for Graph Products

@inproceedings{Cohen1993ProjectiveRF,
  title={Projective Resolutions for Graph Products},
  author={Daniel E. Cohen},
  year={1993}
}
Let Γ be a finite graph together with a group Gv at each vertex v. The graph product G(Γ) is obtained from the free product of all Gv by factoring out by the normal subgroup generated by {ghgh; g ∈ Gv, h ∈ Gw} for all adjacent v, w. In this note we construct a projective resolution for G(Γ) given projective resolutions for each Gv, and obtain some applications. Let Γ be a finite graph together with a group Gv at each vertex v. The graph product G(Γ) is obtained from the free product of all Gv… CONTINUE READING

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Euler characteristics and characters of discrete groups

H. Bass
Invent. Math • 1976
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