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Find a $4 \times 4$ invertible integer matrix whose order is $5$.

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#linear-algebra #abstract-algebra #matrices #group-theory #quaternions
164
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Prove $Q_8$ is not contained as a subgroup in the symmetric group $S_n$, for $n<8$

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#group-theory #symmetric-groups #quaternions
102
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Generalizations of Deuring's correspondence

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#abstract-algebra #number-theory #algebraic-number-theory #elliptic-curves #quaternions
41
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Integral elements over quaternion algebras

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#abstract-algebra #number-theory #reference-request #quaternions
169
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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
42
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If $1+1\ne 0$ in a commutative ring $A$, then the quaternion algebra over $A$ is not commutative.

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#abstract-algebra #ring-theory #quaternions
46
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Is the nontrivial semidirect product of $C_3^2$ by $Q$ unique?

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#group-theory #finite-groups #quaternions #semidirect-product
69
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Transformation in $SO(4)$

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#abstract-algebra #lie-groups #quaternions
138
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Polarization identity for quaternions

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#linear-algebra #quaternions
139
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Quaternion Differentiation Comparison and Oddity in Quaternion Composition/Multiplication scheme.

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#derivatives #numerical-methods #quaternions
239
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Automorphism of quaternions

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#abstract-algebra #quaternions #automorphism-group
108
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Splitting fields of subalgebras of central division algebras

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#abstract-algebra #quaternions #division-algebras
109
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Quaternion group as a central extension of a $2$-group

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#group-theory #quaternions #p-groups #central-extensions #2-groups
56
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Equivalent definitions of almost quaternionic structures

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#differential-geometry #quaternions #principal-bundles #almost-complex
218
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Explanation of several remarks of Gauss on representations of a given number as sum of four squares.

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#math-history #quaternions #theta-functions

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