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Determining the Monogeneity of a Quartic Number Field

✍ Scribed by David Koppenhöfer

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
370 KB
Volume
172
Category
Article
ISSN
0025-584X

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✦ Synopsis

This note presents a method that determines all power integral bases of a quartic number field by solving Thue equations of degrees 3 and 4. To this end, projective representations of the ring of integers by graded complete intersections are studied and a criterion for monogeneity in terms of projective representations is derived.

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