English

Gorenstein versions of type $\Phi$ groups and some Gcd-cd, Ghd-hd coincidences

Group Theory 2025-12-01 v2 Rings and Algebras

Abstract

In this short note, we characterise some Gorenstein versions of the concept of a group being of type Φ\Phi as introduced by Olympia Talelli. And, we also generalize a different Talelli result regarding the coincidence of the classical and the Gorenstein cohomological dimension of torsion-free groups in Kropholler's \LHF\LH\mathscr{F} class.

Keywords

Cite

@article{arxiv.2510.26746,
  title  = {Gorenstein versions of type $\Phi$ groups and some Gcd-cd, Ghd-hd coincidences},
  author = {Rudradip Biswas and Dimitra-Dionysia Stergiopoulou},
  journal= {arXiv preprint arXiv:2510.26746},
  year   = {2025}
}