Technical Reports

An Analysis of the 3x3 Matrix Group B1

Author: Peter M. Maurer

EMail: Peter_Maurer@Baylor.edu

Abstract:

This document analyzes the 3x3 matrix group B1 (over GF(2)) as a subgroup of S7.

Date: 2/4/07

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Posted by Peter M Maurer at
2/4/2007 11:24 PM | View Comments (0) | Add Comment | Trackbacks (0)
An Analysis of the 3x3 Matrix Group A7

Author: Peter M. Maurer

EMail: Peter_Maurer@Baylor.edu

Abstract:

This document analyzes the 3x3 matrix group A7 (over GF(2)) as a subgroup of S7.

Date: 2/4/07

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Posted by Peter M Maurer at
2/4/2007 11:21 PM | View Comments (0) | Add Comment | Trackbacks (0)
An Analysis of the 3x3 Matrix Group A6

Author: Peter M. Maurer

EMail: Peter_Maurer@Baylor.edu

Abstract:

This document analyzes the 3x3 matrix group A6 (over GF(2)) as a subgroup of S7.

Date: 2/4/07

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Posted by Peter M Maurer at
2/4/2007 11:21 PM | View Comments (0) | Add Comment | Trackbacks (0)
An Analysis of the 3x3 Matrix Group A5

Author: Peter M. Maurer

EMail: Peter_Maurer@Baylor.edu

Abstract:

This document analyzes the 3x3 matrix group A5 (over GF(2)) as a subgroup of S7.

Date: 2/4/07

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Posted by Peter M Maurer at
2/4/2007 11:20 PM | View Comments (0) | Add Comment | Trackbacks (0)
An Analysis of the 3x3 Matrix Group A4

Author: Peter M. Maurer

EMail: Peter_Maurer@Baylor.edu

Abstract:

This document analyzes the 3x3 matrix group A4 (over GF(2)) as a subgroup of S7.

Date: 2/4/07

Full Text:
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Posted by Peter M Maurer at
2/4/2007 11:19 PM | View Comments (0) | Add Comment | Trackbacks (0)
An Analysis of the 3x3 Matrix Group A3

Author: Peter M. Maurer

EMail: Peter_Maurer@Baylor.edu

Abstract:

This document analyzes the 3x3 matrix group A3 (over GF(2)) as a subgroup of S7.

Date: 2/4/07

Full Text:
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Posted by Peter M Maurer at
2/4/2007 11:18 PM | View Comments (0) | Add Comment | Trackbacks (0)
An Analysis of the 3x3 Matrix Group A2

Author: Peter M. Maurer

EMail: Peter_Maurer@Baylor.edu

Abstract:

This document analyzes the 3x3 matrix group A2 (over GF(2)) as a subgroup of S7.

Date: 2/4/07

Full Text:
Click here for the PDF of this report

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Posted by Peter M Maurer at
2/4/2007 11:15 PM | View Comments (0) | Add Comment | Trackbacks (0)
An Analysis of the 3x3 matrix group A1

Author: Peter M. Maurer

EMail: Peter_Maurer@Baylor.edu

Abstract:

This document analyzes the 3x3 matrix group A1 (over GF(2)) as a subgroup of S7.

Date: 2/4/07

Full Text:
Click here for the PDF of this report

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Posted by Peter M Maurer at
2/4/2007 11:06 PM | View Comments (0) | Add Comment | Trackbacks (0)
A New Kind of Reduction

Author: Peter M. Maurer

EMail: Peter_Maurer@Baylor.edu

Abstract:

This report gives a new method of reducing matrices. In the traditional approach, a rectangle of zeros in the upper left is required. In this method, the zero locations can be distributed throughout the matrix. A 4x4 matrix is used as an example, but any matrix will do. To find an acceptable pattern, place a rectangle of zeros in the upper left, then rearrange the rows and columns in exactly the same way to distribute the zeros throughout the matrix. These zero-distributed matrices will be conjugate to existing forms of matrices using a permutation matrix as the conjugacy matrix.

Date: 2/4/07

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Posted by Peter M Maurer at
2/4/2007 2:04 PM | View Comments (0) | Add Comment | Trackbacks (0)
Constructing 4x4 representations from 3x3 representations

Author: Peter M. Maurer

EMail: Peter_Maurer@Baylor.edu

Abstract:

This report shows how to generate 4x4 representations of S4 (over GF(2)) from 3x3 representations. A lot of brute force calculation is done, and I hope you're impressed by that, but I'm still seeking some fundamental insight that simplifies this matter.

Date: 2/4/07

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Posted by Peter M Maurer at
2/4/2007 2:00 PM | View Comments (0) | Add Comment | Trackbacks (0)