Maximal algebraic torus (source code)

= Maximal algebraic torus
{title2=$T$}

= Maximal algebraic tori
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= Maximal torus of an algebraic group
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= Maximal tori of an algebraic group
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A maximal algebraic torus is an <algebraic torus> maximal among the tori contained in an <algebraic group>. In a connected <reductive algebraic group>, all maximal algebraic tori are conjugate. A <Borel subgroup> contains maximal algebraic tori, and its <unipotent radical> gives a decomposition $B=T\ltimes U$.