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 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