Abstract Algebra

Course Description and Grading Breakdown

The course will be approximately devoted to three topics (more or less, depending on time and real-time choices of the instructor):

1) Around semisimple algebras.
2) Basic aspects of representation theory of finite groups.
3) Basic theory of finite groups (Group actions, Sylow theorem, solvable/nilpotent groups, semidirect products, etc).

The grading will be using quasi-weekly homework assignments (no exams).


Course Meeting Time and Location
Monday, Wednesday and Friday
9:00 - 9:55 am
104 Math Building (Building 15)

Course Instructor Contact Information and Office Hours
223 Math Building (Building 15)
Office hours: Monday, 10:00-10:55 am

TA Contact Information and Office Hours
2-B Math Building
Office hours: Saturday, 07:00 - 07:55 pm

Course Schedule and Textbook

Textbooks:

    * "Algebra" by Serge Lang (available for students via the link https://clsproxy.library.caltech.edu/login?url=http://dx.doi.org/10.1007/978-1-4613-0041-0).
    * My lecture notes (see at the bottom of this page).
    * Other textbooks might be added later (for subjects such as the Brauer group, or representation theory of finite groups).


Course Policies
Late work - only upon requesting permission from the instructor or the TA.


Assignments
 Date PostedAssignment Due Date  Remarks
Apr 06, 2018HW 1 (file at bottom of page)6pm, Apr 13, 2018Should solve all three problems
Apr 13, 2018HW 2 (file at bottom of page)6pm, Apr 20, 2018 Should solve three out of the eight problems
Apr 20, 2018HW 3 (file at bottom of page)6pm, Apr 27, 2018 Should solve all three problems
May 04, 2018HW 4 (file at bottom of page)6pm, May 11, 2018Should solve three out of the four problems
May 11, 2018HW 5 (file at bottom of page)6pm, May 18, 2018Should solve three out of the four problems



Collaboration Table
 HomeworkExams
You may consult:  
Course textbook (including answers in the back)YESYES
Other booksYESNO
Solution manualsNONO
InternetYESNO
Your notes (taken in class)YESYES
Class notes of othersYESNO
Your hand copies of class notes of othersYESYES
Photocopies of class notes of othersYESNO
Electronic copies of class notes of othersYESNO
Course handoutsYESYES
Your returned homework / examsYESYES
Solutions to homework / exams (posted on webpage)YESYES
Homework / exams of previous yearsNONO
Solutions to homework / exams of previous yearsNONO
Emails from TAsYESNO
You may:

Discuss problems with othersYESNO
Look at communal materials while writing up solutionsYESNO
Look at individual written work of othersNONO
Post about problems onlineNONO
For computational aids, you may use:

CalculatorsYES*NO
ComputersYES*NO

* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work.  For example, "by Mathematica" is not an acceptable justification for deriving one equation from another.  Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them.

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Alexander Yom Din,
May 18, 2018, 1:02 PM
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Alexander Yom Din,
Apr 6, 2018, 10:31 AM
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Alexander Yom Din,
May 3, 2018, 5:50 PM
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Alexander Yom Din,
Apr 20, 2018, 10:28 AM
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Alexander Yom Din,
May 4, 2018, 11:03 AM
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Alexander Yom Din,
May 11, 2018, 12:04 PM
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Alexander Yom Din,
May 18, 2018, 12:59 PM