Radical of an algebraic group
http://dbpedia.org/resource/Radical_of_an_algebraic_group an entity of type: Abstraction100002137
The radical of an algebraic group is the identity component of its maximal normal solvable subgroup.For example, the radical of the general linear group (for a field K) is the subgroup consisting of scalar matrices, i.e. matrices with and for . An algebraic group is called semisimple if its radical is trivial, i.e., consists of the identity element only. The group is semi-simple, for example. The subgroup of unipotent elements in the radical is called the unipotent radical, it serves to define reductive groups.
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Inom matematiken är radikalen av en algebraisk grupp i dess maximala normala lösbara delgrupp.
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Radical of an algebraic group
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Radikal av en algebraisk grupp
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1088331
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991861377
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The radical of an algebraic group is the identity component of its maximal normal solvable subgroup.For example, the radical of the general linear group (for a field K) is the subgroup consisting of scalar matrices, i.e. matrices with and for . An algebraic group is called semisimple if its radical is trivial, i.e., consists of the identity element only. The group is semi-simple, for example. The subgroup of unipotent elements in the radical is called the unipotent radical, it serves to define reductive groups.
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Inom matematiken är radikalen av en algebraisk grupp i dess maximala normala lösbara delgrupp.
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1046