Kummer Elements and the mod-3 Invariant
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Maneesh Thakur
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Article
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2001
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Elsevier Science
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English
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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 โ J is a Kummer element with x 3 = ฮป,