Groups and Symmetry, by M.A. Armstrong.
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(Very) Tentative Schedule
Week 1 (August 22 - August 26). Introduction and the basic axioms
Week 2 (August 29 - September 2). Examples and relations
Week 3 (September 7 - September 9). Generators and the symmetric group
Week 4 (September 12 - September 16). The symmetric group and isomorphisms
Week 5 (September 19 - September 23). Cayley's Theorem and Products
Week 6 (September 26 - September 30). Cayley's Theorem and Midterm 1
Week 7 (October 3 - October 7). Matrix groups,. Project 1 due.
Week 8 (October 10 - October 14). Lagrange's Theorem, Partitions, and Conjugacy
Week 9 (October 17 - October 21). Conjugacy, Cauchy's Theorem, and homomorphisms
Week 10 (October 24 - October 28). Quotients groups and homomorphisms
Week 11 (October 31- November 4). Isomorphism Theorems.
Week 12 (November 7 - November 11). Group actions. Project 2 due.
Week 13 (November 14 - November 18). Sylow Theory. Midterm 2 due.
Week -- (November 21 - November 25). Fall break
Week 14 (November 28 - December 2). Sylow Theory.
Week 15 (December 5 - December 9). Applications. Project 3 due.
Finals Week (December 10 - December 15). Final Dec 14, 1:30-4pm