English

Hopf orders in $K[C_p^3]$ in characteristic $p$

Rings and Algebras 2020-12-14 v1 Commutative Algebra

Abstract

Let pp be prime, let KK be a non-archimedean local field of characteristic pp and let Cp3C_p^3 denote the elementary abelian group of order p3p^3. We give a complete classification of Hopf orders in the KK-Hopf algebra (K[Cp3])(K[C_p^3])^* and under a mild condition compute their dual Hopf orders in the group ring K[Cp3]K[C_p^3].

Keywords

Cite

@article{arxiv.2012.06540,
  title  = {Hopf orders in $K[C_p^3]$ in characteristic $p$},
  author = {Robert Underwood},
  journal= {arXiv preprint arXiv:2012.06540},
  year   = {2020}
}