| Instructor | Keith Conrad | ||||
| kconrad at math dot uconn dot edu. (When you send an email message, please identify yourself at the end.) | |||||
| Office hours | MSB 318; W 2:30-3:30, Th 12:30-1:30 or by appointment. | ||||
| Course info |
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| Text | Abstract Algebra, 3-rd ed. (Wiley), by Dummit and Foote. There is a list of errata for the book at Foote's website. | ||||
| Other references | There are notes on group theory at the website of Milne. | ||||
| LaTeX |
A good LaTeX package for PCs (using Windows) is MiKTeX version 2.9,
which can be downloaded here; download and run `miktex basic installer'
(it takes a while to install). In the start menu of MiKTeX 2.9 you want
to look for TeXworks and use that as your TeX interface. (An
introductory TeXworks website is here, explaining a bit about it.)
When typsetting a document with MiKTeX 2.9 for the first time, be sure
to set pdftex to pdflatex.
Information about installing LaTeX for a Mac is here. Information about downloading LaTeX for Windows can be found here.
Some LaTeX files:
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Course handouts
Remarks about the definition of Euclidean domains (optional)
Gaussian integers
Zorn's Lemma
Definitions related to rings
Characters of finite abelian groups
Groups of order 12 (application of semidirect products)
Applications
of the Sylow theorems
Proof
of the Sylow theorems
Cylicity of (Z/(p))×
Group Actions
Applications of Cauchy's theorem
Proof of Cauchy's theorem
Conjugation in a group
Quotient groups in art (optional)
Cosets and Lagrange's theorem
Families of groups
Dihedral groups.
Generating sets for symmetric groups, alternating groups, and some matrix groups
Sign of a permutation, symmetric and alternating groups
Subgroups of a cyclic group
Orders of elements in a group
10/29: Office hours on 10/30 are canceled, and on 10/31 they are 12:30--1:30 (usual time) and 5:00--6:00 (extra time)
9/17: Office hours on 9/18 and 9/25 are changed from 2:30--3:30 to 3:00--4:00 on 9/18 and 12:15--1:15 on 9/25.
8/27: Course begins.
Brief course description: This is the first-semester of a year-long course which will prepare graduate students for future work where algebra is needed. In the first semester we will cover topics from group theory, ring theory, and modules. This corresponds to Parts I, II, and some of Part III in the course text.
Prerequisites: Students are expected to have had an undergraduate algebra course and be familiar with concepts from group theory at that level.
Course grade: This will be based on the following weighting:
Homework: Homework assignments will be posted on the bottom of this web. Due dates will be marked on each assignment. During the semester you are expected to learn LaTeX so that by the end of the semester your last assignment is in LaTeX. No late homeworks will be accepted.Exams: There will be 1 midterm and a final.
- Computational homework problems should present a complete calculation, starting with the data of the problem. Do not just give the answer.
- There are no makeup exams. If you miss the midterm, the midterm grade is 0.
- If you need exam accommodations based on a documented disability, you need to speak with both the Center for Student Disabilities and the course instructor within the first two weeks of the semester.
| Due Week of | Homework Assignment |
| 1.Aug. 26
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| 2. Sept. 2
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Set 1.
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| 3. Sept. 9
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| 4. Sept. 16
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Set 2. |
| 5. Sept. 23 |
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| 6. Sept. 30
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| 7. Oct. 7 |
Set 3. |
| 8. Oct. 14
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| 9. Oct. 21 |
Set 4. |
| 10. Oct. 28
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| 11. Nov. 4 |
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| 12. Nov. 11
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| 13. Nov. 18 |
Set 5. |
| 14. Nov. 25
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None (it's Thanksgiving break).
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| 15. Dec. 2
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