论文标题

Morava $ e $ $ - Abelian团体理论中的转移理想和扭转

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

论文作者

Barthel, Tobias, Stapleton, Nathaniel

论文摘要

让$ a $为有限的Abelian $ P $排名,至少$ 2 $。我们表明,$ e^0(ba)/i_ {tr} $,Morava $ e $ - $ a $ a $的$ a $的商,这是由所有适当子组沿所有适当子组产生的理想所产生的,包含$ p $ torsion。证明利用了变性特征理论。

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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