Iwasawa invariants and Kummer conguruences
✍ Scribed by Tauno Metsänkylä
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 577 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0022-314X
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📜 SIMILAR VOLUMES
Let p be an odd regular prime number. We prove that there exist infinitely many totally real number fields k of degree p&1 whose class numbers are not divisible by p. Moreover, for certain regular prime number p, we prove that there exist infinitely many totally real number fields k of degree p&1 wh
Let k be a field with characteristic not 2 and 3. Assume that k contains the cube roots of unity. Let J be a Tits'-first-construction Albert division algebra over k. In this paper we relate Kummer elements in J with the mod-3 invariant g 3 J . We prove that if x ∈ J is a Kummer element with x 3 = λ,