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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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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,