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

Tobias Barthel; Nathaniel Stapleton

doi:10.1007/s40062-020-00259-z

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

Tobias Barthel, Nathaniel Stapleton

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Let A be a finite abelian p-group of rank at least 2. We show that E(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.

Original language	English
Pages (from-to)	369-375
Number of pages	7
Journal	Journal of Homotopy and Related Structures
Volume	15
Issue number	2
DOIs	https://doi.org/10.1007/s40062-020-00259-z
State	Published - Jun 1 2020

Bibliographical note

Funding Information:
The authors would like to thank the Max Planck Institute for Mathematics for its hospitality and Jeremy Hahn for helpful conversations. We also thank the referee for useful comments on an earlier version of this document. The second author was supported by NSF Grant DMS-1906236.

Funding Information:
The authors would like to thank the Max Planck Institute for Mathematics for its hospitality and Jeremy Hahn for helpful conversations. We also thank the referee for useful comments on an earlier version of this document. The second author was supported by NSF Grant DMS-1906236.

Publisher Copyright:
© 2020, Tbilisi Centre for Mathematical Sciences.

Keywords

Level structures
Morava E-theory
Transchromatic character theory

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.1007/s40062-020-00259-z

Cite this

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abstract = "Let A be a finite abelian p-group of rank at least 2. We show that E(BA) / Itr, 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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T1 - Transfer ideals and torsion in the Morava E-theory of abelian groups

AU - Barthel, Tobias

AU - Stapleton, Nathaniel

N1 - Funding Information: The authors would like to thank the Max Planck Institute for Mathematics for its hospitality and Jeremy Hahn for helpful conversations. We also thank the referee for useful comments on an earlier version of this document. The second author was supported by NSF Grant DMS-1906236. Funding Information: The authors would like to thank the Max Planck Institute for Mathematics for its hospitality and Jeremy Hahn for helpful conversations. We also thank the referee for useful comments on an earlier version of this document. The second author was supported by NSF Grant DMS-1906236. Publisher Copyright: © 2020, Tbilisi Centre for Mathematical Sciences.

PY - 2020/6/1

Y1 - 2020/6/1

N2 - Let A be a finite abelian p-group of rank at least 2. We show that E(BA) / Itr, 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.

AB - Let A be a finite abelian p-group of rank at least 2. We show that E(BA) / Itr, 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.

KW - Level structures

KW - Morava E-theory

KW - Transchromatic character theory

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VL - 15

SP - 369

EP - 375

IS - 2

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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