Invertible $K(2)$-Local $E$-Modules in $C_4$-Spectra

Agnes Beaudry, Irina Bobkova, Michael Hill +1

We compute the Picard group of the category of $K(2)$-local module spectra over the ring spectrum $E^{h{C}_4}$, where $E$ is a height 2 Morava $E$-theory and $C_4$ is a subgroup of t…