Duality for Hopf orders

Underwood, Robert; Childs, Lindsay

doi:10.1090/S0002-9947-05-03728-1

Duality for Hopf orders
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by Robert G. Underwood and Lindsay N. Childs PDF

Trans. Amer. Math. Soc. 358 (2006), 1117-1163 Request permission

Abstract:

In this paper we use duality to construct new classes of Hopf orders in the group algebra $KC_{p^3}$, where $K$ is a finite extension of $\mathbb {Q}_p$ and $C_{p^3}$ denotes the cyclic group of order $p^3$. Included in this collection is a subcollection of Hopf orders which are realizable as Galois groups.

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