TextbookGroups and Symmetry, by M.A. Armstrong.
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(Very) Tentative Schedule
Week 1 (August 27 - August 31). Introduction and the basic axioms
Week 2 (September 3 - September 7). Examples and relations
Week 3 (September 10 - September 14). Generators and the symmetric group
Week 4 (September 17 - September 21). The symmetric group and isomorphisms
Week 5 (September 24 - September 28). Cayley's Theorem and Products
Week 6 (October 1 - October 5). Matrix groups and Midterm 1
Week 7 (October 8 - October 12). Lagrange's Theorem and Partitions. Project 1 due.
Week 8 (October 15 - October 19). Partitions and Conjugacy
Week 9 (October 22 - October 26). Conjugacy and quotient groups
Week 10 (October 29 - November 2). Quotients and homomorphisms
Week 11 (November 5 - November 9). Isomorphism Theorems, and Cauchy's Theorem. Project 2 due.
Week 12 (November 12 - November 16). Group actions. Midterm 2 due.
Week -- (November 19 - November 23). Fall break
Week 13 (November 26 - November 30). Post break Review and Group Actions
Week 14 (December 3 - December 7). Sylow Theory.
Week 15 (December 10 - December 14). Applications. Project 3 due.
Finals Week (December 15 - December 21). Final Dec 17, 1:30-4pm