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Algebraic number theory (Fall 2013), Homework 1
Frank Thorne, [email protected]
Due Friday, January 25
Late homework will be accepted, but more will be posted by next Friday. Remember that you
only need 200 points for an A, so you dont have to do all
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Algebraic number theory (Spring 2013), Homework 1
Frank Thorne, [email protected]
Due Friday, February 1
Please do at least one of the cubic eld integral basis calculations, if you do nothing else.
Questions 2 and 3 can be skipped without loss of con
Algebraic number theory (Spring 2013), Homework 6
Frank Thorne, [email protected]
Due Friday, April 19
Recall that starred (*) exercises may involve background beyond what is assumed in this course.
1. (5 points) Prove that any nite subgroup of the unit
Algebraic number theory (Spring 2013), Homework 4
Frank Thorne, [email protected]
Due Wednesday, February 27
Recall that starred (*) exercises may involve background beyond what is assumed in this course.
Here crossed (+) exercises involve computer c
Algebraic number theory (Spring 2013), Homework 3
Frank Thorne, [email protected]
Due Monday, February 10
1
1
1. (5 points) Represent 23, 4 , 7, and 14 as 7-adic numbers. Which of them are 7-adic integers?
2. (5 points) Write out a formal proof that
Algebraic number theory (Spring 2013), Homework 8
Frank Thorne, [email protected]
Due Wednesday, May 8
Note: Any homework turned in after Thursday, May 2 at noon should be sent to me by e-mail,
so I can grade it from the road.
1. (10 points) Summarize wh
Algebraic number theory (Spring 2013), Homework 6
Frank Thorne, [email protected]
Due Wednesday, May 8
Note: Any homework turned in after Thursday, May 2 at noon should be sent to me by e-mail,
so I can grade it from the road.
1. (5 points) Determine, wi
Algebraic number theory (Spring 2013), Homework 5
Frank Thorne, [email protected]
Due Friday, March 22
Recall that starred (*) exercises may involve background beyond what is assumed in this course.
1. (20 points) In a page or so, explain what you le