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An automorphism is an isomorphism from an object to itself, and which also preserves the objects structure .

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Subfields of division rings of degree $2$ which are not invariant

(This is basically a more detailed version of Eoin's comment.) I assume that you are considering division algebras over a field $k$, i.e., $Z(A) = k$. If $B$ is a subalgebra of dimension $2$ of $A$, t …
Tom De Medts's user avatar
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