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arXiv · 2510.26746

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

Rudradip Biswas·Dimitra-Dionysia Stergiopoulou
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Abstract

In this short note, we characterise some Gorenstein versions of the concept of a group being of type $\Phi$ 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 $\LH\mathscr{F}$ class.

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Rudradip Biswas, Dimitra-Dionysia Stergiopoulou. 2025-10-30. Gorenstein versions of type $\Phi$ groups and some Gcd-cd, Ghd-hd coincidences. https://arxiv.org/abs/2510.26746

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