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

MPS-Authors
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Barthel,  Tobias
Max Planck Institute for Mathematics, Max Planck Society;

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Stapleton,  Nathaniel
Max Planck Institute for Mathematics, Max Planck Society;

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Fulltext (public)

arXiv:2002.12639.pdf
(Preprint), 129KB

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Citation

Barthel, T., & Stapleton, N. (2020). Transfer ideals and torsion in the Morava E-theory of abelian groups. Journal of Homotopy and Related Structures, 15(2), 369-375. doi:10.1007/s40062-020-00259-z.


Cite as: http://hdl.handle.net/21.11116/0000-0006-9BD9-7
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.