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 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 |