Homework Assignment Twelve Quick Answers
1. 9.1.4
2. 9.1.12 pi2 and pi7 don’t commute
3. 9.2.4 (1/4)[2**64+2*2**16+2**32]
4. 9.2.10 (1/2)[3*2**(n-1)+3*2**(n/2-1)]
5. 9.3.4 a. 1/7[3**7+3+3+3+3+3+3]
6. 9.3.14 permutations transform subsets into
subsets. A two-coloring of the points in the
set identifies a subset and its complement, and
a coloring (a subset) is invariant if the
coloring is constant across cycles. Hence the
result.
7. 9.4.2a,b
a)
1/6[(b+w)**6+2(b**6+w**6)+2(b**3+w**3)**2+(b**2+w**2)**3]; 4
(b is similar..)
8. 9.4.10a b**2w**2r+b**2wr**2+bw**2r**2
9. 9.4.12
10. (extra credit - done in class)
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RobbieMoll - 12 Dec 2006