Unipotent - Unipotent Radical

The unipotent radical of an algebraic group G is the set of unipotent elements in the radical of G. It is a connected unipotent normal subgroup of G, and contains all other such subgroups. A group is called reductive if its unipotent radical is trivial. If G is reductive then its radical is a torus.

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Famous quotes containing the word radical:

    When we dream about those who are long since forgotten or dead, it is a sign that we have undergone a radical transformation and that the ground on which we live has been completely dug up: then the dead rise up, and our antiquity becomes modernity.
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