On the image of the total power operation for Burnside rings

Nathan Cornelius, Lewis Dominguez, David Mehrle +3

We prove that the image of the total power operation for Burnside rings $A(G)\to A(G\wr \hat{I}{\pounds }_n)$ lies inside a relatively small, combinatorial subring $\mathring A(G,n) \subseteq A(G…