THE VALUATIVE CONDITION AND R-HOPF ALGEBRA ORDERS IN KCp3

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. 1. Introduction. Th