John Jones - MAT 444 Homework

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Binary operations
Outline
Groups of order 6
Conjugation in S_n
Groups of order 8

Only the underlined homework problems are due on the date indicated. Assignments should be stable, but are subject to change until they have a due date.

An entry like "6acf" means parts a, c, and f from number 6. A dash in the column for who the problem is assigned to means that no one submits a solution to the problem.

The presumption on all questions is that you will prove your answer is correct, even if the problem does not state that explicitly. For example, if a problem asks if a binary operation is commutative, you need to either prove that it is or prove that it is not.

On true/false questions, you just have to give an answer (so no proof or disproof).

Due	Section	Problems
-	28	14, 18-21
-	-	Exercises on a non-Noetherian ring, and some solutions.
-	34	21, 26, 27, 29, 31
-	35	13
-	31	1-3, 5-7, 14, 18, 19, 26, 34, 36
4/18		No assignment due - test week
4/11	30	3, 10-13, 18, 19, 20, 21, 22, 24, 26, 30, 31
4/11	28	1, 3-6, 9, 10, 25-30, 31
4/11	27	7-9, 12, 13, 23
4/4	27	1-6
4/4	26	4, 6, 11
4/4	24	4, 5
4/4	23	4, 6, 8-10, 23, 29 32, 35
4/4	22	48
3/28	22	1-6, 11-13, 34, 35, 37, 38, 39, 42, 43, 44, 51
3/28	17	18, 19, 20, 24, 26
3/21	17	1-4, 12, 15, 16
3/21	14	6, 7, 16, 19, 20
3/21	13	38, 39, 42, 43, 44, 45
3/14		No assignment due - test week
3/7		Spring break
2/28	13	1, 3, 15, 21, 31-33, 37
2/28	12	1-6, 9-14, 23, 24, 28, 31, 32, 33, 34, 35, 36, 38
2/21	10	1, 3, 4, 12, 20-26, 32, 33, 36, 38, 40, 41, 42, 44
2/21	9	1, 3-6, 14, 15, 21-29, 32, 36, 39, 40, 41, 50, 51
2/14	8	1-3, 8, 9, 11, 12, 17-21, 23-25, 31, 35, 37, 39, 43, 47 51
2/14	7	1-6
2/14	6	64, 67
2/7	6	1-4, 27, 28, 32, 36-38, 41, 45, 53, 54, 56, 58, 60,
2/7	5	1-4, 27, 28, 36, 39, 45, 46, 47, 51, 53, 57, 59
1/31	-	Groups of order 4 (this is to be turned in)
1/31	4	1-10, 12, 29 33, 35
1/31	3	1, 4, 7, 22, 23, 29, 34 (check all options on the last two)
1/24	2	2, 3, 25, 29, 32, 33, 36, 39, 42,
1/24	1	8, 9 (with proofs/disproofs)

Last Update: April 30, 2022

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Physical Sciences, A-Wing

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Last Modified: April 30, 2022