Steenrod's operations in simplicial Bredon-Illman cohomology with local coefficients (Q542644)

\textit{S. Gitler} constructed reduced power operations in cohomology with local coefficients in [Am. J. Math. 85, 156--188 (1963; Zbl 0131.38006)]. Inspired by this work, the present authors use an algebraic approach to Steenrod operations, due to \textit{J. P. May} [Steenrod Algebra Appl., Lect. Notes Math. 168, 153--231 (1970; Zbl 0242.55023)], and by using the equivariant description of Eilenberg, they reproduce Steenrod's reduced power operations in simplicial Bredon-Illman cohomology of a one vertex \(G\)-Kan complex where the equivariant local coefficients take values in \(\mathbb{Z}_p\)-algebras, for a prime \(p>2\).