Abstract

Let K be a finite extension of Qp endowed with the p-adic valuation and let R be its ring of integers. In this paper we give a complete classification of R-Hopf algebra orders in the group ring KCp3. For an arbitrary Hopf order H, we show that either the group scheme SpH or the group scheme SpH*, with H* the linear dual, can be viewed as the middle term of the Baer product of a distinguished extension with a generically trivial extension. Using this characterization we then compute algebra generators for either H or H*.

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