Factoring the Burnside Adams Operation through the Power Operation

Within representation theory, it's well known that the Adams operation can be factored through the power operation. Similar factorizations exist for some other cohomology theories. It is not known for the Burnside ring. Our primary goal is to describe such a factorization for the Burnside ring in certain cases. We begin by recalling the Burnside ring and these operations, then observing a theorem by Gay, Morris, and Morris which describes the Adams operation, and finally, describing the three major steps of the proof.