Let G be a group and W a G-set. In this work we prove a result that describes geometrically, for a Poincare duality pair (G, W), the set of representatives for the G-orbits in W and the family of isotropy subgroups. We ...

We present a method to obtain infinitely many examples of pairs (W, D) consisting of a matrix weight W in one variable and a symmetric second-order differential operator D. The method is based on a uniform construction of ...

Let G be a group, W a G-set with [G:Gw]=∞ for all w∈W, where Gw denotes the point stabilizer of w∈W. Considering the restriction map resW G:H1(G,Z2G)→∏w∈EH1(Gw,Z2G), where E is a set of orbit representatives for the G-action ...