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Automatic realizability of Galois groups of order 16
Author(s):
Helen
G.
Grundman;
Tara
L.
Smith
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2631-2640.
MSC (1991):
Primary 12F10, 12F12
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Abstract:
This article examines the realizability of small groups of order  , as Galois groups over arbitrary fields of characteristic not 2. In particular we consider automatic realizability of certain groups given the realizability of others.
References:
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- H. G. Grundman, T. L. Smith and J. Swallow, Groups of order 16 as Galois groups, Expo. Math. 13 (1995), 289--319.
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- C. U. Jensen, On the representations of a group as a Galois group over an arbitrary field, Théorie des nombres -- Number Theory (J.-M. De Koninck and C. Levesque, eds.), Walter de Gruyter, 1989, pp. 441--458. MR 90k:12006
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Additional Information:
Helen
G.
Grundman
Affiliation:
Department of Mathematics, Bryn Mawr College, Bryn Mawr, Pennsylvania 19010 and Mathematical Sciences Research Institute, Berkeley, California 94720
Email:
grundman@brynmawr.edu
Tara
L.
Smith
Affiliation:
Department of Mathematics, University of Cincinnati, Cincinnati, Ohio 45221-0025
Email:
tsmith@math.uc.edu
DOI:
10.1090/S0002-9939-96-03345-X
PII:
S 0002-9939(96)03345-X
Received by editor(s):
September 20, 1994
Received by editor(s) in revised form:
March 6, 1995
Additional Notes:
The first author's research was supported in part by National Science Foundation Grant No. DMS-9115349 and the Alice Lee Hardenbergh Clark Faculty Research Grants Fund of Bryn Mawr College. The second author's research was supported in part by the National Security Agency and the Taft Memorial Fund of the University of Cincinnati
Communicated by:
Lance W. Small
Copyright of article:
Copyright
1996,
American Mathematical Society
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