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math.GR2026
Gorenstein dimensions and Hirsch length of groups
Ioannis Emmanouil, Konstantinos Golfis, Wei Ren
We study the relation between the Gorenstein homological and the Gorenstein cohomological dimension of groups. We prove that for every module of type over any ring …
math.GR2025
Group class operations and homological conditions
Ioannis Emmanouil, Wei Ren
Kropholler's operation and Talelli's operation can be often used to formally enlarge the class of available examples of groups that satisfy certain ho…