The Group of Galois Extensions

Over Orders in

Author:
Robert Underwood

Journal:
Trans. Amer. Math. Soc. **349** (1997), 1503-1514

MSC (1991):
Primary 14L15, 16W30, 13B02; Secondary 13B25, 11Sxx

DOI:
https://doi.org/10.1090/S0002-9947-97-01914-4

MathSciNet review:
1407713

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**Robert Underwood**

Affiliation:
Department of Mathematics, Auburn University at Montgomery, Montgomery, Alabama 36117

Email:
underw@tango.aum.edu

DOI:
https://doi.org/10.1090/S0002-9947-97-01914-4

Received by editor(s):
June 9, 1995

Article copyright:
© Copyright 1997
American Mathematical Society