Regular groups, radical rings, and Abelian Hopf Galois structures on prime-power Galois field extensions


This is a report on joint work of the author with S. C. Featherstonhaugh and L. N. Childs, and expands slightly on the presentation given by the author at Porto Cesareo, on June 9, 2011, at the Conference on Advances in Group Theory and Applications. The full results appear in [5].

DOI Code: 10.1285/i15900932v33n1p95

Keywords: Galois field extensions; Hopf Galois structures; regular groups; radical rings

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