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arXiv · 2002.12639

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

Tobias Barthel·Nathaniel Stapleton
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Abstract

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.

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Tobias Barthel, Nathaniel Stapleton. 2020-02-28. Transfer ideals and torsion in the Morava $E$-theory of abelian groups. https://arxiv.org/abs/2002.12639

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