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Mathematics of Computation
Journal of the American Mathematical Society
ISSN 1088-6842(e) ISSN 0025-5718(p)
     

Normal integral bases for $A_4$ extensions of the rationals

Author(s): Jean Cougnard.
Journal: Math. Comp. 75 (2006), 485-496.
MSC (2000): Primary 11R04, 11Y40; Secondary 11R33
Posted: September 1, 2005
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Abstract | References | Similar articles | Additional information

Abstract: We give an algorithm for constructing normal integral bases of tame Galois extensions of the rationals with group $A_4$. Using earlier works we can do the same until degree $15$.


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Additional Information:

DOI: 10.1090/S0025-5718-05-01779-5
PII: S 0025-5718(05)01779-5
Keywords: Number theory, algorithm
Received by editor(s): March 28, 2004
Received by editor(s) in revised form: October 28, 2004
Posted: September 1, 2005
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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