Special linear group

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Bol Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the special linear group of degree n over a field F is the set of n×n matrices with determinant 1, with the group operations of ordinary matrix multiplication and matrix inversion. This is the normal subgroup of the general linear group, given by the kernel of the determinant. These elements are "special" in that they fall on a subvariety of the general linear group - they satisfy a polynomial equation (since the determinant is polynomial in the entries).

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the special linear group of degree n over a field F is the set of n×n matrices with determinant 1, with the group operations of ordinary matrix multiplication and matrix inversion. This is the normal subgroup of the general linear group, given by the kernel of the determinant. These elements are "special" in that they fall on a subvariety of the general linear group - they satisfy a polynomial equation (since the determinant is polynomial in the entries).


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