 Index of a central simple algebra (source code)

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= Index of a central simple algebra
{title2=$\operatorname{ind}A=\deg D$}

= Index of a Brauer class
{synonym}

If $A\cong M_r(D)$ with $D$ a <central division algebra>, its index is $\deg D$. It depends only on the <Brauer group> class. The index divides every finite splitting-field degree and equals the degree of a maximal subfield of the division representative.

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