an:07217904
Zbl 07217904
Barthel, Tobias; Stapleton, Nathaniel
Transfer ideals and torsion in the Morava \(E\)-theory of abelian groups
EN
J. Homotopy Relat. Struct. 15, No. 2, 369-375 (2020).
00450514
2020
j
55N22 55P42 55S25
Morava E-theory; transchromatic character theory; level structures
Summary: 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 the transfers along all proper subgroups, contains \(p\)-torsion. The proof makes use of transchromatic character theory.