MATH 110A Algebra (Honors), Lecture 1
Instructor: Christian Haesemeyer
Office: MS 6304
phone: 310-825-3364
Office hours:M:3-4 W:2-3 F:1-2

Teaching Assistant:Justin Shih

Time and Location:
• MWF 10am, MS 6229 (Lectures)and R 10am, MS 6201 (Discussion section).

• Syllabus and assignments:
• Week 1: Preliminaries: Integers, induction, and equivalence relations.
• Homework 1, due Friday October 7: Elman Lectures, Exercises 8.5.: 1,2,3,4,7,8,11,13,14,15. Exercises 9.10.: 1,4,5,6.
• Week 2: Groups: definition and examples. Subgroups.
• Homework 2, due Friday October 14: Elman Lectures, Exercises 10.14: 1,2,3,4,5,6.
• Week 3: Homomorphisms. Cosets. Normal subgroups.
• Homework 3, due Friday October 21: Elman Lectures, Exercises 11.9: 3,6,14,15,16.
• Week 4: The symmetric group (Dummit & Foote 1.3., Elman 18 through 18.8. but you may skip 18.5.). Automorphisms of groups (see Elman, page 60).
• Homework 4, due Friday October 28: Elman lectures, Exercises 11.9.: 9,10,11,12 Exercises 12.11.: 1,5,6.
• Week 5: Group actions (Dummit & Foote 4.1. through 4.3., Elman 15 and 16).
• Homework 5, due Friday November 4: Elman lectures, Exercises 15.9.: 1,2. Exercises 16.26.: 2,6,7,8.
• Week 6: Group actions, ctd.
• Homework 6, due Monday November 14: Elman lectures, Exercises 16.26.: 5,11,12,13. Exercises 17.11.: 1,2,3.
• Week 7: Sylow theorems.
• Homework 7, due Monday November 21: Elman lectures, Exercises 17.11.: 4,5,8,11,12. Exercises 14.13.: 1,4.
• Week 8: Composition series. (Dummit & Foote 3.4., Elman 14.)
• Homework 8, due Monday November 28: Elman lectures, Exercises 17.11.: 9. Dummit & Foote, Exercises 5.2.: 1 (a) and (b) only, 6,9.
• Week 9: Abelian groups. (Dummit & Foote 5.2.)
• Week 10: Symmetric groups, revisited.

• Midterm Exam: Friday, October 28 in class.
• Final Exam: Thursday, December 8, 11:30-2:30. Take-home part is here. Due Monday December 5th by noon. I will be in my office that Monday 10-12. Late exams will not be accepted.

• Literature:
• We are going to use: Dummit and Foote, Abstract Algebra (3rd ed.), Wiley 2003; and Prof. R. Elman's Lectures in Abstract Agebra available for download here. My own notes from another algebra class (as source for the material about finite abelian groups) can be found here.