The Course

Contact Info Course details Homework Exams Projects

Textbook


Groups and Symmetry, by M.A. Armstrong.

Grades


Vocab Quizzes 10%
Homework 20%
Projects 20%
Midterms 25%
Final 25%

Honor Code


All students of the University of Colorado at Boulder are responsible for knowing and adhering to the academic integrity policy of this institution. Violations of this policy may include: cheating, plagiarism, aid of academic dishonesty, fabrication, lying, bribery, and threatening behavior. All incidents of academic misconduct shall be reported to the Honor Code Council (honor@colorado.edu; 303-725-2273). Students who are found to be in violation of the academic integrity policy will be subject to both academic sanctions from the faculty member and non-academic sanctions (including but not limited to university probation, suspension, or expulsion). Other information on the Honor Code can be found at
http://www.colorado.edu/policies/honor.html
http://www.colorado.edu/academics/honorcode

(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