The Exotic $K(2)$-Local Picard Group at the Prime $2$

Agnes Beaudry, Irina Bobkova, Paul G. Goerss +3

We calculate the group ${\kappa }_2$ of exotic elements in the $K(2)$-local Picard group at the prime $2$ and find it is a group of order $2^9$ isomorphic to $(\mathbb{Z}/8)^2 \times (\mat…