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The Super Symmetric Representations of S4 in GL3(2)
(2013-09-20)
This report gives all conjugacy classes of the super symmetric groups HR3 and VR3
The Class 1 4x4 Faithful Representations of S4 over GF(2)
(2013-09-20)
There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 1.
The Class 4 4x4 Faithful Representations of S4 over GF(2)
(2013-09-20)
There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 4.
Primitive Polynomials for the Field GF(3): Degree 2 through Degree 11
(2013-09-20)
This report lists the primitive polynomials over GF(3) of degree 2 through 11. These polynomials were generated using a new matrix-based technique I invented.
Generator Pairs for all 4x4 GF(2) Representations of S4
(2013-09-20)
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 ...
The Class 10 4x4 Faithful Representations of S4 over GF(2)
(2013-09-20)
There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 10. (There is no class 6, so the classes are ...
The Class 7 4x4 Faithful Representations of S4 over GF(2)
(2013-09-20)
There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 7.
The Class 8 4x4 Faithful Representations of S4 over GF(2)
(2013-09-20)
There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 8. This class includes the standard representation ...
The Representations of GF(8) in GL3(2)
(2013-09-20)
This report gives one subgroup of each of the conjugacy classes of the subgroups of S7.
The Number of Conjugates of the Standard Representation of Sn in the General Linear Group over GF(2)
(2013-09-20)
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 ...