- Mathematics 113
homework assignments
due May 4
Find the centralizer CG(σ) in group S9 of
the permutation σ in the following two cases:
a) σ = (3 9 4 2)
b) σ = (2 7) (3 1 8)
c) σ = (1 5)(3 8)
d) σ = (1 2)(3 4)(5 6)
Section 36: 17 18 22
Read short Section 20 and do the following exercises: 2 8
12 14 27
due April 27
Read Section 18 and do the following exercises: 2 4
12 20 34 40 41 44 46
due April 20
Section 36: 2 4 6 11 12 13
14 15
due April 13
Section 15: 26 36 37 40
Section 16: 2 9bc 10ab 11 12
due April 6 (more than usual, but many are
very short)
Section 13: 8 10 16 26 28 36
38 42 44
Section 14: 4 8 10 14 27
Section 15: 4 8 10 12 14 16
due March 23
The exercises accompanying Section 11 are an excellent learning
material. Do as many as you can.
Section 11: 2 4 6 8 10 12
14 16 20 22 24 26 28
due March 16
Section 9: 18 29 30
Section 10: 2 4 6 12 16 28
30 31 32 33
due March 9
Section 8: 45 49 51(this is the opposite group
structure we have been talking about in the class) 53
Section 9: 2 8 10 12 14
16 27a
due March 2
Section 8: 18 22 30 32 36
40 42 46 48
due February 23
Section 6: 34 46 48 55
Section 7: 2 4 6
Section 8: 2 4
6 8 10 12
due February 16
Section 6: 12 14 16 18
20
22 24 26 28 36 40 44 50
due February 9
Section 5: 12 14 16 18
20
22 24 26 28 30 32 34
36 38
due February 2
Section 2: 26 Section 3: 24 26 27 33 34
Section 4: 8 14 19ab 20 35
due January 26
Study Sections 0-1 and do the following exercises:
Section 0: 12 14 16cd 18 19 28 32 34 36
Section 1: 22 30 32 36