The Course |
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TextbookGroups and Symmetry, by M.A. Armstrong. |
Grades
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Honor CodeAll 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 |
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(Very) Tentative ScheduleWeek 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 |