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Hopf Orders in KCp

  • Robert G. Underwood
Chapter

Abstract

Let p be a rational prime, let K be a finite extension of \(\mathbb{Q}\), and let G be a finite Abelian group. In Chapter 5, we constructed a collection of Hopf orders in KG using p-adic order-bounded group valuations on G. These were called Larson orders. We specialized to the case \(G = {C}_{{p}^{n}}\), completed R at the prime P above p, and considered Larson orders over the complete local ring \({\hat{R}}_{P}\). In Chapter 6, we constructed a collection of formal group Hopf orders in \({K}_{P}{C}_{{p}^{n}}\) and found that the Larson orders in \({K}_{P}{C}_{{p}^{n}}\) formed a proper subcollection of the formal group Hopf orders.

Keywords

Hopf Algebra Commutative Ring Short Exact Sequence Group Ring Group Homomorphism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsAuburn UniversityMontgomeryUSA

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