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OverviewThis volume gives two new methods for constructing $p$-elementary Hopf algebra orders over the valuation ring $R$ of a local field $K$ containing the $p$-adic rational numbers. One method constructs Hopf orders using isogenies of commutative degree 2 polynomial formal groups of dimension $n$, and is built on a systematic study of such formal group laws. The other method uses an exponential generalization of a 1992 construction of Greither. Both constructions yield Raynaud orders as iterated extensions of rank $p$ Hopf algebras; the exponential method obtains all Raynaud orders whose invariants satisfy a certain $p$-adic condition. The book is intended for advanced graduate students and research mathematicians working in formal group schemes or local algebraic number theory and Galois module theory. Full Product DetailsAuthor: Lindsay N. Childs , Cornelius Greither , David J. Moss , Jim SauerbergPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 651 Weight: 0.243kg ISBN: 9780821810774ISBN 10: 0821810774 Pages: 118 Publication Date: 30 October 1998 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction to polynomial formal groups and Hopf algebras Dimension one polynomial formal groups Dimension two polynomial formal groups and Hopf algebras Degree two formal groups and Hopf algebras $p$-Elementary group schemes--Constructions and Raynaud's theory.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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