On the \(RO(G)\)-graded coefficients of dihedral equivariant cohomology (Q1996266)

Following the previous work of the first author and \textit{J. Holler} [Algebr. Geom. Topol. 17, No. 2, 741--763 (2017; Zbl 1366.55006)] on calculating the \(RO(G)\)-graded coefficients of ordinary equivariant cohomology, the authors tackle the case of the dihedral group of order \(2p\), for \(p\) a prime larger than 2. As stated, ``These are the first such calculations for a non-abelian group.'' The paper addresses both the case of the constant Mackey functor \(\underline{\mathbb{Z}}\) and the Burnside ring \(\underline{A}\). The main tool used in the calculations is a set of explicit CW structures on the representation spheres.