The paper proves that the nth alternating power of the group scheme α_{p^n} is isomorphic to α_p over a perfect field of odd characteristic p, and it develops the surrounding tensor theory.
Pink, Finite group schems and p-divisable groups , Lecture notes in WS 2004/05 at ETH Z ¨urich, available on the website http://www.math.ethz.ch/∼pink/FiniteGroupSchemes.html
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Tensor Operations on Group Schemes
The paper proves that the nth alternating power of the group scheme α_{p^n} is isomorphic to α_p over a perfect field of odd characteristic p, and it develops the surrounding tensor theory.