Transfer ideals and torsion in the Morava $E$-theory of abelian groups

Tobias Barthel, Nathaniel Stapleton

Let $A$ be a finite abelian $p$ group of rank at least $2$. We show that $E^0(BA)/I_{tr}$, the quotient of the Morava $E$-cohomology of $A$ by the ideal generated by the image of t…