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The Group of Galois Extensions Over Orders in |
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| Authors: | Robert Underwood |
| Affiliation: | Department of Mathematics, Auburn University at Montgomery, Montgomery, Alabama 36117 |
| Abstract: | In this paper we characterize all Galois extensions over  where  is an arbitrary  -Hopf order in  . We conclude that the abelian group of  -Galois extensions is isomorphic to a certain quotient of units groups in  . This result generalizes the classification of  -Galois extensions, where  , due to Roberts, and also to Hurley and Greither. |
| Keywords: | |
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