Hopf orders in K[C_p³] in characteristic p

2020/11/28 by Robert G. Underwood, Underwood, Robert
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2012.06540

Abstract

Let p be prime, let K be a non-archimedean local field of characteristic p and let C_p³ denote the elementary abelian group of order p³. We give a complete classification of Hopf orders in the K-Hopf algebra (K[C_p³])^* and under a mild condition compute their dual Hopf orders in the group ring K[C_p³].

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