Some Hopf Galois structures arising from elementary abelian -groups

Author:
Lindsay N. Childs

Journal:
Proc. Amer. Math. Soc. **135** (2007), 3453-3460

MSC (2000):
Primary 16W30

DOI:
https://doi.org/10.1090/S0002-9939-07-08888-0

Published electronically:
June 22, 2007

MathSciNet review:
2336557

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Abstract: Let be an odd prime, , the elementary abelian -group of rank , and let be the group of principal units of the ring . If is a Galois extension with Galois group , then we show that for , the number of Hopf Galois structures on afforded by -Hopf algebras with associated group is greater than , where .

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Additional Information

**Lindsay N. Childs**

Affiliation:
Department of Mathematics and Statistics, University at Albany, Albany, New York 12222

Email:
childs@math.albany.edu

DOI:
https://doi.org/10.1090/S0002-9939-07-08888-0

Received by editor(s):
February 13, 2006

Received by editor(s) in revised form:
August 11, 2006

Published electronically:
June 22, 2007

Communicated by:
Martin Lorenz

Article copyright:
© Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.