s09_mthsc851_finalexam

s09_mthsc851_finalexam - MTHSC 851 Final Exam Spring 2009...

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Unformatted text preview: MTHSC 851, Final Exam Spring 2009 Instructor: Dr. Matthew Macauley Monday, April 27, 2009 Name Instructions • Exam time is 2.5 hours. • You may not use notes or books. • PLEASE WRITE NEATLY AND COMPLETELY! Work out what you want to say on scratch paper before you write it out on the test. There are two pages of scratch paper at the end. • If you have any doubt about what results you may assume, then ask . Question Points Earned Maximum Points 1 10 2 15 3 20 4 20 5 15 6 20 Total 100 Student to your left: Student to your right: 1. (a) Describe in full the meaning of the statement that a group G has a presentation h a,b | a 2 = b 3 = 1 , ab- 1 ab = b- 1 aba i . (b) Carefully state the Fundamental Theorem of Finite Abelian Groups. 2. (a) Carefully and fully define the following terms (listed in alphabetical order): (i) Com- mutative Ring, (ii) Euclidean Domain, (iii) Field, (iv) Integral Domain, (v) Principal Ideal Domain....
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This note was uploaded on 03/11/2012 for the course MTHSC 851 taught by Professor Staff during the Fall '08 term at Clemson.

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s09_mthsc851_finalexam - MTHSC 851 Final Exam Spring 2009...

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