Groups and Symmetry, by M.A. Armstrong.
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(Very) Tentative Schedule
Week 1 (August 26 - August 30). Introduction and the basic axioms
Week 2 (September 4 - September 6). Examples and relations
Week 3 (September 9 - September 13). Generators and the symmetric group
Week 4 (September 16 - September 20). The symmetric group and isomorphisms
Week 5 (September 23 - September 27). Cayley's Theorem and Products
Week 6 (September 30 - October 4). Cayley's Theorem and Midterm 1
Week 7 (October 7 - October 11). Matrix groups,. Project 1 due.
Week 8 (October 14 - October 18). Lagrange's Theorem, Partitions, and Conjugacy
Week 9 (October 21 - October 25). Conjugacy, Cauchy's Theorem, and homomorphisms
Week 10 (October 28 - November 1). Quotients groups and homomorphisms
Week 11 (November 4 - November 8). Isomorphism Theorems.
Week 12 (November 11 - November 15). Group actions. Project 2 due.
Week 13 (November 18 - November 22). Sylow Theory. Midterm 2 due.
Week -- (November 25 - November 29). Fall break
Week 14 (December 2 - December 6). Sylow Theory.
Week 15 (December 9 - December 13). Applications. Project 3 due.
Finals Week (December 14 - December 19). Final Dec 18, 4:30-7pm