Determinants of integral ideal lattices and automorphisms of given characteristic polynomial
โ Scribed by Eva Bayer-Fluckiger
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 84 KB
- Volume
- 257
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
The aim of this paper is to give a characterisation of the determinants and signatures of integral ideal lattices over a given algebraic number field. This is then used to obtain an existence criterion for automorphisms of given characteristic polynomial. In particular, we give a different proof of a result of B. Gross and C. McMullen [in preparation].
๐ SIMILAR VOLUMES
The purpose of this paper is to give a complete effective solution to the problem of computing radicals of polynomial ideals over general fields of arbitrary characteristic. We prove that Seidenberg's "Condition P" is both a necessary and sufficient property of the coefficient field in order to be a