= Classical group
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A <classical group> is a standard family of linear groups, principally the general/special linear groups and groups preserving nondegenerate alternating, symmetric, Hermitian or quadratic forms. Finite-field versions yield many <finite simple groups> after imposing the appropriate determinant or derived-subgroup condition and quotienting the scalar <center of a group>. Small dimensions and small fields have exceptional isomorphisms and nonsimple cases.
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