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Duality for Hopf orders

Author(s): Robert G. Underwood; Lindsay N. Childs
Journal: Trans. Amer. Math. Soc. 358 (2006), 1117-1163.
MSC (2000): Primary 13C05, 13E15, 16W30; Secondary 14L05, 12F10
Posted: April 22, 2005
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Abstract: In this paper we use duality to construct new classes of Hopf orders in the group algebra $KC_{p^3}$, where $K$ is a finite extension of $\mathbb{Q} _p$ and $C_{p^3}$ denotes the cyclic group of order $p^3$. Included in this collection is a subcollection of Hopf orders which are realizable as Galois groups.

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Additional Information:

Robert G. Underwood
Affiliation: Department of Mathematics, Auburn University Montgomery, Montgomery, Alabama 36124

Lindsay N. Childs
Affiliation: Department of Mathematics and Statistics, SUNY at Albany, Albany, New York 12222

DOI: 10.1090/S0002-9947-05-03728-1
PII: S 0002-9947(05)03728-1
Received by editor(s): July 18, 2003
Received by editor(s) in revised form: April 16, 2004
Posted: April 22, 2005
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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