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

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-9BD9-7 Version Permalink: https://hdl.handle.net/21.11116/0000-0006-9BDA-6
Genre: Journal Article
Latex : Transfer ideals and torsion in the Morava $E$-theory of abelian groups

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 Creators:
Barthel, Tobias1, Author           
Stapleton, Nathaniel1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Topology
 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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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 7
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2002.12639
URI: http://arxiv.org/abs/2002.12639
DOI: 10.1007/s40062-020-00259-z
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Title: Journal of Homotopy and Related Structures
  Abbreviation : J. Homotopy Relat. Struct.
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 15 (2) Sequence Number: - Start / End Page: 369 - 375 Identifier: -