We conjecture that a group G admits a finite‐dimensional classifying space for proper
actions if and only if the Gorenstein projective dimension of G is finite. We verify the one …

In this short article, we will be principally investigating two classes of modules over any
given group ring–the class of Gorenstein projectives and the class of Benson's cofibrants …

Over the ring of integers, groups of type Φ were first introduced by Olympia Talelli as a
possible algebraic characterisation of groups that admit finite dimensional models for …

Let $ G $ be a group and $ R $ be a ring. We define the Gorenstein homological dimension
of $ G $ over $ R $, denoted by ${\rm Ghd} _ {R} G $, as the Gorenstein flat dimension of …

Recently the notions of sfliΓ, the supremum of the flat lengths of injective Γ-modules, and
silfΓ, the supremum of the injective lengths of flat Γ-modules have been studied by some …

First we study the Gorenstein cohomological dimension ${\rm Gcd} _RG $ of groups $ G $
over coefficient rings $ R $, under changes of groups and rings; a characterization for …

We investigate two open questions in a cohomology theory relative to the family of finite
subgroups. The problem of whether the F-cohomological dimension is subadditive is …

设G 是群, R 是交换环. 定义群G 在系数环R 上的Gorenstein 同调维数Ghd RG 为平凡RG-模R
的Gorenstein 平坦维数. 证明了对交换环的Erobenius 扩张R→ S, 有Ghd s G= Ghd R G. 此外 …

Here we relate the Gorenstein dimension of a group $ G $, $\mathrm {Gcd} _ {R} G $, over
$\mathbb Z $ and $\mathbb Q $ to the cohomological dimension of $ G $, $\mathrm {cd} …

Let Γ be a group and Γ be a subgroup of Γ of finite index. Let M be a Γ-module. It is shown
that M is (strongly) Gorenstein flat if and only if it is (strongly) Gorenstein flat as a Γ-module …