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Abstract: For $K$ an extension of $\mathbb{Q} {p}$ with ring of integers $R$ we showhow Breuil-Kisin modules can be used to determine Hopf orders in $K$-Hopfalgebras of $p$-power dimension. We find all cyclic Breuil-Kisin modules, anduse them to compute all of the Hopf orders in the group ring $K\Gamma$ where$\Gamma$ is cyclic of order $p$ or $p^{2}.$ We also give a Laurent seriesinterpretation of the Breuil-Kisin modules that give these Hopf orders.



Autor: Alan Koch

Fuente: https://arxiv.org/







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