The stable Picard group of $\mathcal {A}(n)$

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发表日期：

2025年10月24日

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JianZhong Pan,
RuJia Yan

摘要

In this paper, we show that, for $n\ge 2$ $n \geq 2$ , the stable Picard group of $\mathcal {A}(n)$ $A (n)$ is $\mathbb {Z}\oplus \mathbb {Z}$ $Z \oplus Z$ , where $\mathcal {A}(n)$ $A (n)$ is the usual finite sub Hopf algebra of the Steenrod algebra $\mathcal {A}$ $A$ at the prime 2. The proof relies on reductions from a Hopf algebra to certain sub Hopf algebras.

The stable Picard group of \(\mathcal {A}(n)\)

摘要