Trace Forms of Trinomials
β Scribed by M. Epkenhans
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 307 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
In this paper we determine trace forms of field extensions defined by trinomials (X^{n}+a X^{k}+b). This gives an affirmative answer to a generalization of a question of Conner and Yui. Moreover we classify all such trace forms over algebraic number fields. ' 1993 Academic Press, Inc.
π SIMILAR VOLUMES
Galois groups of irreducible trinomials X n + aX s + b β X are investigated assuming the classification of finite simple groups. We show that under some simple yet general hypotheses bearing on the integers n s a and b only very specific groups can occur. For instance, if the two integers nb and as
The support of the Schweizerischer Nationalfonds zur Fiirderung der wissenschaftlichen Forschung (Grant 2.514-0.76) is greatfully acknowledged by the authors.