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14
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Fundamental theorem of algebra for Quaternions and Octonions -- and the completeness

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#abstract-algebra #number-theory #field-theory #quaternions #octonions
133
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Quaternion with only two imaginary numbers

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#number-theory #complex-numbers #quaternions #octonions
357
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General algebra for rotations in $n$ dimensions

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#representation-theory #rotations #quaternions #octonions
168
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"Canonical" norm on a real finite-dimensional unital associative division algebra?

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#abstract-algebra #normed-spaces #quaternions #division-algebras #octonions
73
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Automorphism group of octonions is closed in $O(7)$.

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#abstract-algebra #automorphism-group #octonions
56
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Investigating and Generalizing Octonionic Nonassociativity

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#combinatorics #associativity #octonions #nonassociative-algebras
86
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Orders of Paige Loops over Finite Fields

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#abstract-algebra #group-theory #reference-request #finite-fields #octonions
67
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About the octonions

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#abstract-algebra #quaternions #octonions
195
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Norm of the Sedenions

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#abstract-algebra #algebras #division-algebras #octonions #sedenions
122
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Extension of Hopf Fibrations

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#algebraic-topology #geometric-topology #fiber-bundles #octonions #hopf-fibration
971
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Does the $32$-inator exist?

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#abstract-algebra #recreational-mathematics #multilinear-algebra #octonions #sedenions
44
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When is operator conformality preserved under addition and subtraction?

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#abstract-algebra #geometry #quaternions #octonions
64
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How do you find the 3rd roots of hypercomplex imaginary units?

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#octonions #hypercomplex-numbers
332
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Are there an endless number of imaginary square roots for negative one?

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#radicals #octonions

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