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Generator Pairs for all 4x4 GF(2) Representations of S4
There are nine conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices. This report gives generator matrices for one group in each class. These generator pairs allow each of the ...
Conjugates of the Standard Representation of S3 in 3x3 matrices
This is a list of the 28 conjugates of the standard representation of S3 in 3x3 matrices.
The Number of Conjugates of the Standard Representation of Sn in the General Linear Group over GF(2)
This report determines the normalizer of the standard representation of Sn in the general linear group of nxn matrices over GF(2). The size of the normalizer is then used to determine the number of classes of conjugate ...
Super symmetry is a type of matrix-based symmetry that extends the concept of total symmetry. Super symmetric functions are “even more symmetric” than totally symmetric functions. Even if a function is not super ...