Gorenstein versions of type $Φ$ groups and some Gcd-cd, Ghd-hd coincidences
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914173164716032 |
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| author | Biswas, Rudradip Stergiopoulou, Dimitra-Dionysia |
| author_facet | Biswas, Rudradip Stergiopoulou, Dimitra-Dionysia |
| contents | In this short note, we characterise some Gorenstein versions of the concept of a group being of type $Φ$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26746 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gorenstein versions of type $Φ$ groups and some Gcd-cd, Ghd-hd coincidences Biswas, Rudradip Stergiopoulou, Dimitra-Dionysia Group Theory Rings and Algebras Primary: 20C07, Secondary: 18G05, 20K40 In this short note, we characterise some Gorenstein versions of the concept of a group being of type $Φ$ 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. |
| title | Gorenstein versions of type $Φ$ groups and some Gcd-cd, Ghd-hd coincidences |
| topic | Group Theory Rings and Algebras Primary: 20C07, Secondary: 18G05, 20K40 |
| url | https://arxiv.org/abs/2510.26746 |