Study Guide

MATH 337 1999, D1 & E1 -- Algebra IIIA




Lecturers

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Gerry Myerson  Office: E7A-415, ph: 9850 8952, email: gerry@ics.mq.edu.au,
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Dr Ross Moore  Office: E7A-419, ph: 9850 8955, email: ross@ics.mq.edu.au

Lecture Times

D1 offering
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Monday 10am, with Gerry Myerson.
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Tuesday 10am, with Gerry Myerson.
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Wednesday 10am, with Ross Moore.
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Friday 10am, with Ross Moore.
All day-time lectures are in room E7B-264.

E1 offering
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Tuesday 6pm-8pm, in room E7B-263, with Gerry Myerson.
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Thursday 6pm-8pm, in room E7B-264, with Ross Moore.

Topics and Lecture Notes

All students are expected to have access to a copy of the printed lectures notes, available from the University Co-op Bookshop.
``Groups: Their Presentations and Representations'' Course notes for MATH337, 2nd edition 1999, by Dr CDH Cooper.

Lectures will cover the material in these notes, roughly as follows:

Week Myerson Moore
1 Chapters 1,3,4: Introduction,
Examples, Theory 1
Chapter 2: Permutations
2   Exercises
3   Chapter 5: Abelian groups
4 Chapter 7: Theory 2  
5 1st Assignment due  
Easter Friday + 1-week break: April 2-9
6 Chapter 9: Representations Chapter 6: Todd-Coxeter Algorithm
2nd Assignment due
7    
8 1st Project due
9 3rd Assignment due Chapter 8: Groups acting on sets
2-week break: May 10-21
10 Chapter 11: Free groups  
11   Chapter 10: Solvable groups
12 2nd Project due Chapter 12: Infinite abelian groups (?)
13 4th Assignment due

Recommended Reading

Browsing the library shelves is very much encouraged.

One book that is particularly useful is:

* MA Armstrong
``Groups and Symmetry'', Undergraduate Texts in Mathematics Series. publ. by Springer, New York, 1988.

Assessment

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There will be 4 assignments which will count 16%.
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There will be 2 projects which will count 9%.
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There also will be a three-hour final examination which will count 75%.

Exercise Sheets & Assignments

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Exercise Sheet 1.          (Solutions).
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Assignment 1, 1999.          (Solutions).
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Exercise Sheet 2.          (Solutions).
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Assignment 2, 1999.          (Solutions).
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Project 1, 1999.         
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Exercise Sheet 3.          (Solutions).
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Assignment 3, 1999.          (Solutions).
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Project 2, 1999.         
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Assignment 4, 1999.          (Solutions).
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Exercise Sheet 4.          (Solutions).


Ross Moore 1999-06-21