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Determination of division algebras with 243 elements

✍ Scribed by I.F. Rúa; Elías F. Combarro; J. Ranilla


Book ID
118445975
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
162 KB
Volume
18
Category
Article
ISSN
1071-5797

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On Division Algebras of Degree 3 with In
✍ Darrell E Haile; Max-Albert Knus 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 151 KB

Let D be a division algebra of degree 3 over its center K and let J be an involution of the second kind on D. Let F be the subfield of K of elements invariant under J, char F / 3. We present a simple proof of a theorem of A. Albert on the existence of a maximal subfield of D which is Galois over F w