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The valuative condition and R-Hopf algebra orders in KCp3
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 118, Number 4, August 1996
- pp. 701-743
- 10.1353/ajm.1996.0036
- Article
- Additional Information
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*.