Introduction to Group Theory

Math 120 A. INTRO GROUP THEORY  (Fall 2007)

     Course Code: 44710    

Meeting Information

    Room: MSTB 122
    Day & time: M W F 3:00pm to 3:50pm

    Midterm: Wednesday, Oct. 31, 3:00-3:50 pm

    Final Exam: Monday, Dec. 10, 4-6 pm

Instructor Information

Instructor:  Anton Gorodetski
   Email: asgor@uci.edu
   Phone: (949) 824-1381
   Office Location: 219 Multipurpose Science & Technology
   Office Hours: Monday 1-3pm or by appointment

Teaching Assistant:  Sean Cox
   Email: coxs@uci.edu
   Phone: (949) 824-2825
   Office Location: 420B Rowland Hall
   Office Hours: Office Hrs: TUES 1-2 and FRI 2-3. Tutoring Center: TUES 4-5 and FRI 1-2.

Required text:    John B. Fraleigh"A first course in Abstract Algebra" (additional references will be provided for a few topics not covered by this book).

Grading:    Weekly homework 30%, midterm exam 20%, final exam 50%.

Collaboration Policy:   You may discuss homework problems with other students, but solutions should be written up individually in your own words.


Homework

    Homework 1 (due October 9). Section 1, ex. 8, 10, 12, 16; Section 2, ex. 8; Section 4, ex. 2, 6, 29.

    Homework 2 (due October 16). Section 5, ex. 20, 22, 26, 51; Section 6, ex. 18, 28, 36, 48.                               

    Homework 3 (due October 23). Section 8, ex. 2, 4, 8, 12, 18, 20, 45, 46.

    Homework 4 (due October 30). Section 9, ex. 2, 12, 18, 32; Section 10, ex. 4, 12, 16, 37.                                                                 

    Homework 5 (due November 6). Section 11, ex. 6, 8, 10, 18, 24, 26, 47, 53.                                           

    Homework 6 (due November 13). Section 13, ex. 2, 6, 8, 12, 14, 18, 22, 50.

    Homework 7 (due November 20). Section 14, ex. 4, 8, 12, 14, 30, 34; Section 15, ex. 2, 6.

    Homework 8 (due November 27). Section 14, ex. 26; Section 15, ex. 12, 14, 30, 26, 28; Section 16, ex. 11, 12.

    Homework 9 (due December 4). Section 16, ex. 14; Section 17, ex. 1, 2, 3, 4, 7, 8, 9.

    Sample of the Final Exam

Solutions

    Homework 4, solutions

    Homework 5, solutions

    Homework 6, solutions

    Homework 7, solutions

    Homework 8, solutions

    Midterm, solutions


Links


The Development of Group Theory
 

History of the Abstract Group Concept
 

Glossary of Group Theory
 

"Group Theory" by John Milne


 "An Introduction to Group Theory" by Tony Gaglione