Abstract
Let R be a discrete valuation ring with quotient field K and residue field k of characteristic p > 2 . Each finite flat abelian R-Hopf algebra of rank p n has a corresponding Breuil module. We determine the Breuil modules for the Hopf algebras which are generically isomorphic to KG where G is an elementary abelian p-group, and give an explicit classification for p > 3 , n ⩽ 2 .
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