Homework (Fall 2009) # 3
				 Not for Hand-in





 

 Chap. 4: 1,2,8, 14, 18, 22, 32, 36, 46, 56
           The last problem is a bit tricky.  Here is a hint.
             1. First describe the elements of the group.
             2.  Recall that a cyclic group has at most one subgroup of order 2 (explain).  
             3.  Find two distinct elements a and b of order 2 in G.  For this it might help to look at examples.
             4.  Explain why the two elements in part (3) give a contradiction if G is cyclic. 



 

Chap. 5:   3, 5, 9, 12, 17, 18, 19, 20, 23(a), 24, 26