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Galois scaffolding in one-dimensional elementary abelian extensions
Author(s):
G.
Griffith
Elder
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1193-1203.
MSC (2000):
Primary 11R33, 11S15
Posted:
October 16, 2008
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Abstract:
A Galois scaffold is defined to be a variant of a normal basis that allows for an easy determination of valuation and thus has implications for the questions of the Galois module structure. We introduce a class of elementary abelian  -extensions of local function fields of characteristic  , which we call one-dimensional and which should be considered no more complicated than cyclic degree  extensions, and show that they, just as cyclic degree  extensions, possess a Galois scaffold.
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Additional Information:
G.
Griffith
Elder
Affiliation:
Department of Mathematics, University of Nebraska at Omaha, Omaha, Nebraska 68182-0243
Email:
elder@unomaha.edu
DOI:
10.1090/S0002-9939-08-09710-4
PII:
S 0002-9939(08)09710-4
Keywords:
Ramification,
Galois module structure
Received by editor(s):
May 17, 2007,
Received by editor(s) in revised form:
July 21, 2007, September 12, 2007, and April 8, 2008
Posted:
October 16, 2008
Additional Notes:
The author was partially supported by National Science Foundation Grant No. 201080.
Communicated by:
Ted Chinburg
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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