Technical Reports

Technical Reports

About This Blog
This is sort of an experiment. I plan to publish all my new tech reports this way. Each entry will be an abstract with a link to the full text in PDF form. Comments will be permitted, but trackbacks will be closed to prevent spam attacks.
Some of the tech reports will be formal reports in the sense of pre-publication papers. Others will be research notes with perhaps a bit of aimless rambling.
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Monthly Archives
- 2007
Category Archives
Recent Entries
1. Metamorphosis, State Machines, and Object Oriented Design
  Thursday, May 31, 2007
2. A Note on the Regular Representation
  Monday, February 05, 2007
3. Orders of Matrices and Sizes of General Linear Groups
  Monday, February 05, 2007
4. Linear permutations and Eigenpolynomials
  Monday, February 05, 2007
5. An Analysis of the 3x3 Matrix Group B7
  Sunday, February 04, 2007
6. An Analysis of the 3x3 Matrix Group B6
  Sunday, February 04, 2007
7. An Analysis of the 3x3 Matrix Group B5
  Sunday, February 04, 2007
8. An Analysis of the 3x3 Matrix Group B4
  Sunday, February 04, 2007
9. An Analysis of the 3x3 Matrix Group B3
  Sunday, February 04, 2007
10. An Analysis of the 3x3 Matrix Group B2
  Sunday, February 04, 2007
Recent Comments
1. Peter M. Maurer on Note: Solutions of a quartic GF(2) polynomial
  2/4/2007
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A Note on the Regular Representation [Read Article]

Posted by Peter M Maurer at
2/5/2007 8:20 AM | View Comments (0) | Add Comment | Trackbacks (0)

Orders of Matrices and Sizes of General Linear Groups [Read Article]

Posted by Peter M Maurer at
2/5/2007 8:17 AM | View Comments (0) | Add Comment | Trackbacks (0)

Linear permutations and Eigenpolynomials [Read Article]

Posted by Peter M Maurer at
2/5/2007 8:14 AM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group B7 [Read Article]

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2/4/2007 11:32 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group B6 [Read Article]

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2/4/2007 11:32 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group B5 [Read Article]

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2/4/2007 11:30 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group B4 [Read Article]

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2/4/2007 11:29 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group B3 [Read Article]

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2/4/2007 11:26 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group B2 [Read Article]

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2/4/2007 11:25 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group B1 [Read Article]

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2/4/2007 11:24 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group A7 [Read Article]

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2/4/2007 11:21 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group A6 [Read Article]

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2/4/2007 11:21 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group A5 [Read Article]

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2/4/2007 11:20 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group A4 [Read Article]

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2/4/2007 11:19 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group A3 [Read Article]

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2/4/2007 11:18 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 Matrix Group A2 [Read Article]

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2/4/2007 11:15 PM | View Comments (0) | Add Comment | Trackbacks (0)

An Analysis of the 3x3 matrix group A1 [Read Article]

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2/4/2007 11:06 PM | View Comments (0) | Add Comment | Trackbacks (0)

A New Kind of Reduction [Read Article]

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2/4/2007 2:04 PM | View Comments (0) | Add Comment | Trackbacks (0)

Constructing 4x4 representations from 3x3 representations [Read Article]

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2/4/2007 2:00 PM | View Comments (0) | Add Comment | Trackbacks (0)

Eigenpolynomials of 4x4 matrices over GF(2) [Read Article]

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2/4/2007 1:57 PM | View Comments (0) | Add Comment | Trackbacks (0)

Eigenpolynomials for 3x3 matrices over GF(2) [Read Article]

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2/4/2007 1:46 PM | View Comments (0) | Add Comment | Trackbacks (0)

All 3x3 representations of S3 [Read Article]

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2/4/2007 8:52 AM | View Comments (0) | Add Comment | Trackbacks (0)

Some observations on the 4x4 Reductions [Read Article]

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2/3/2007 9:20 PM | View Comments (0) | Add Comment | Trackbacks (0)

A Comparison of the 4x4 Reductions [Read Article]

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2/3/2007 9:18 PM | View Comments (0) | Add Comment | Trackbacks (0)

Summary of the 4x4 Reductions [Read Article]

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2/3/2007 9:15 PM | View Comments (0) | Add Comment | Trackbacks (0)

Category 10 reductions [Read Article]

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2/3/2007 8:54 PM | View Comments (0) | Add Comment | Trackbacks (0)

Category 9 reductions [Read Article]

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2/3/2007 8:53 PM | View Comments (0) | Add Comment | Trackbacks (0)

Category 8 reductions [Read Article]

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2/3/2007 8:52 PM | View Comments (0) | Add Comment | Trackbacks (0)

Category 7 reductions [Read Article]

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2/3/2007 8:51 PM | View Comments (0) | Add Comment | Trackbacks (0)

Category 5 reductions [Read Article]

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2/3/2007 8:50 PM | View Comments (0) | Add Comment | Trackbacks (0)

Category 4 reductions [Read Article]

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Category 3 reductions [Read Article]

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2/3/2007 8:49 PM | View Comments (0) | Add Comment | Trackbacks (0)

Category 2 reductions [Read Article]

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2/3/2007 8:48 PM | View Comments (0) | Add Comment | Trackbacks (0)

Category 1 Reductions [Read Article]

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2/3/2007 8:45 PM | View Comments (0) | Add Comment | Trackbacks (0)

Notes on the 4x4 Reductions [Read Article]

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2/3/2007 8:40 PM | View Comments (0) | Add Comment | Trackbacks (0)

The Orbits for the 4x4 Matrix Groups of Category 10 [Read Article]

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2/3/2007 3:08 PM | View Comments (0) | Add Comment | Trackbacks (0)

The Orbits for the 4x4 Matrix Groups in Category 9 [Read Article]

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2/3/2007 3:07 PM | View Comments (0) | Add Comment | Trackbacks (0)

The Orbits for the 4x4 Matrix Groups in Category 8 [Read Article]

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2/3/2007 3:06 PM | View Comments (0) | Add Comment | Trackbacks (0)

The Orbits for the 4x4 Matrix Groups in Category 7 [Read Article]

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The Orbits for the 4x4 Matrix Groups in Category 5 [Read Article]

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The Orbits of the 4x4 Matrix Groups in Category 4 [Read Article]

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2/3/2007 3:03 PM | View Comments (0) | Add Comment | Trackbacks (0)

The Orbits of the 4x4 Matrix Groups in Category 3 [Read Article]

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2/3/2007 3:02 PM | View Comments (0) | Add Comment | Trackbacks (0)

The Orbits of the 4x4 Matrix Groups in Category 2 [Read Article]

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2/3/2007 3:01 PM | View Comments (0) | Add Comment | Trackbacks (0)

The Orbits of the 4x4 Matrix Groups in Category 1 [Read Article]

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2/3/2007 2:53 PM | View Comments (0) | Add Comment | Trackbacks (0)

The sizes of the conjugacy classes [Read Article]

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2/3/2007 2:48 PM | View Comments (0) | Add Comment | Trackbacks (0)

Irreducible representations of S4 over GF(2) [Read Article]

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2/3/2007 1:55 PM | View Comments (0) | Add Comment | Trackbacks (0)

3x3 Matrix Groups Isomorphic to S4 - Class B [Read Article]

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2/3/2007 1:43 PM | View Comments (0) | Add Comment | Trackbacks (0)

3x3 Matrix Groups Isomorphic to S4 - Class A [Read Article]

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2/3/2007 1:38 PM | View Comments (0) | Add Comment | Trackbacks (0)

All 4x4 Matrix Groups in Category 10 [Read Article]

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2/3/2007 1:27 PM | View Comments (0) | Add Comment | Trackbacks (0)

All 4x4 Matrix Groups in Category 9 [Read Article]

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2/3/2007 1:26 PM | View Comments (0) | Add Comment | Trackbacks (0)

All 4x4 Matrix Groups in Category 8 [Read Article]

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2/3/2007 1:25 PM | View Comments (0) | Add Comment | Trackbacks (0)

All 4x4 Matrix Groups in Category 7 [Read Article]

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2/3/2007 1:24 PM | View Comments (0) | Add Comment | Trackbacks (0)

All 4x4 Matrix Groups in Category 5 [Read Article]

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2/3/2007 1:23 PM | View Comments (0) | Add Comment | Trackbacks (0)

All 4x4 Matrix Groups in Category 4 [Read Article]

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2/3/2007 1:21 PM | View Comments (0) | Add Comment | Trackbacks (0)

All 4x4 Matrix Groups in Category 3 [Read Article]

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2/3/2007 1:20 PM | View Comments (0) | Add Comment | Trackbacks (0)

All 4x4 Matrix Groups in Category 2 [Read Article]

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2/3/2007 1:19 PM | View Comments (0) | Add Comment | Trackbacks (0)

All 4x4 matrix groups in category 1 [Read Article]

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2/3/2007 1:00 PM | View Comments (0) | Add Comment | Trackbacks (0)

Generators for 4x4 matrix groups [Read Article]

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2/3/2007 12:53 PM | View Comments (0) | Add Comment | Trackbacks (0)

Non-Singular 5x5 Matrices over GF(2) [Read Article]

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2/3/2007 9:20 AM | View Comments (0) | Add Comment | Trackbacks (0)

Non-Singular 4x4 Matrices over GF(2) [Read Article]

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2/3/2007 9:15 AM | View Comments (0) | Add Comment | Trackbacks (0)

Non-singular 3x3 matrices over GF(2) [Read Article]

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2/3/2007 9:06 AM | View Comments (0) | Add Comment | Trackbacks (0)

Note: Anomalies in enumerating subgroups of 5x5 GF(2) matrices [Read Article]

Posted by Peter M Maurer at
2/1/2007 9:32 PM | View Comments (0) | Add Comment | Trackbacks (0)

Note: Solutions of a quartic GF(2) polynomial [Read Article]

Posted by Peter M Maurer at
2/1/2007 4:59 PM | View Comments (1) | Add Comment | Trackbacks (0)

Note: Can a matrix be similar to its square? II [Read Article]

Posted by Peter M Maurer at
1/31/2007 11:40 AM | View Comments (0) | Add Comment | Trackbacks (0)

Note: Can a matrix be similar to its square? [Read Article]

Posted by Peter M Maurer at
1/30/2007 11:03 AM | View Comments (0) | Add Comment | Trackbacks (0)

A quick algorithm for identifying conjugate groups in GF(2) [Read Article]

Posted by Peter M Maurer at
1/18/2007 2:53 PM | View Comments (0) | Add Comment | Trackbacks (0)

Copyright . Peter M. Maurer. All rights reserved.