Nucinkis, Brita E.A. (1999) Cohomology relative to a G-set and finiteness conditions. Topology and its Applications, 92 (2), 153-171. (doi:10.1016/S0166-8641(97)00234-4).
Abstract
We shall consider a cohomology theory relative to group actions on sets and develop a completion analogous to Mislin, Benson and Carlson. Later we restrict ourselves to cohomology relative to all finite subgroups. There we shall study relative analogues to finiteness conditions on kG-modules such as finite relative projective dimension and being of relative type FP$_\infty$.
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