Math 3560 Groups and Geometry, Spring 2009
Syllabus
Solutions
to Prelim 1
Solutions
to Prelim 2
Solutions
to the Final
Homework
Homework
expectations (handout from January 27)
Homework 13, due Thursday April 30:
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You do not need to turn in Problem 2, nor will you receive extra credit if you do so.
However, it is a very good exercise for understanding wallpaper groups.
Homework 12, due Thursday April 23:
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Homework 11, due Thursday April 16:
Chapter IV, Exercises IV.2, Problem 2
Chapter IV, Exercises IV.3, Problems 1 and 3
Homework 10, due Thursday April 9:
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Homework 9, due Thursday April 2:
Chapter III, Exercises III.3, Problems 1, 2, 4 (Hint for 4: look at 3 for an example of this situation.)
Chapter III, Exercises III.4, Problems 1, 2, 3, 7, 8
Chapter III, Exercises III.5, Problems 1, 2, 5 (Note: if G < Isom(C) is a group, then in particular it is a set, and so π(G) is also a set, namely {π(g) : g ∈ G}.)
Homework 8, due Thursday March 26:
Chapter III, Exercises III.1, Problem 2
Chapter III, Exercises III.2, Problems 1, 2, 3, 4, 5
Homework 7, due Thursday March 12:
Chapter II, Exercises II.7, Problems 1, 2, 3, 4, 7, 9
Chapter II, Exercises II.8, Problems 1, 3, 5, 7, 9, 10, 11
Homework 6, due Thursday March 5:
Chapter II, Exercises II.5, Problems 1, 3, 5
Chapter II, Exercises II.6, Problems 1, 3, 4, 6(a)(b)
No homework due Thursday February 26.
Homework 5, due Thursday February 19:
Chapter II, Exercises II.4, Problems 2, 3, 4, 5, 6, 8, 9
Homework 4, due Thursday February 12:
Chapter II, Exercises II.1, Problems 2, 3, 4, 5(a)(b), 7
Chapter II, Exercises II.2, Problems 2, 3, 5
Chapter II, Exercises II.3, Problems 1, 3, 4, 5, 7, 8, 10
Homework 3, due Thursday February 5:
Chapter I, Exercises I.4, Problems 1, 3, 4, 6, 7, 8, 12, 13
Chapter I, Exercises I.5, Problems 1, 2, 3
Homework 2, due Thursday January 29:
Chapter I, Exercises I.2, Problems 2 (parts 4., 5.), 3 (parts 4.,5.,6.), 4
(parts 2.,3.), 6, 9, 10
Chapter I, Exercises I.3, Problems 1, 2
Homework 1, due Thursday January 22:
Chapter I, Exercises I.1, Problems 2, 4, 5