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Unformatted text preview: Math 103A Final Exam (100 points) 11:30AM Monday 12/5/05 Please put your name and ID number on your blue book. CLOSED BOOK, but BOTH SIDES of two pages of notes are allowed. Calculators are NOT allowed. In a multipart problem, you can do later parts without doing earlier ones. You must show your work to receive credit. 1. (27 pts.) Which are TRUE and which are FALSE? Do NOT give reasons. (a) The nonzero reals under multiplication are a subgroup of the complex numbers under addition. (b) If : G H is a group homomorphism and K H , then  1 ( K ) G . (c) If : G H is a group homomorphism and H is a cyclic group, then G is a cyclic group. (d) If S n is the symmetric group on { 1 , 2 , . . ., n } and S n , then   n . (e) Suppose p and q are primes. Then Z pq Z p Z q if and only if p negationslash = q . (f) If G is a group of order n and k divides n , then G has an element of order k ....
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This note was uploaded on 06/18/2009 for the course MATH 103A taught by Professor Rogalski,daniel during the Winter '08 term at UCSD.
 Winter '08
 Rogalski,Daniel
 Math, Algebra

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