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

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 نشر من قبل Nathaniel Stapleton
 تاريخ النشر 2020
  مجال البحث
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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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