1)
Neils Abel, Paolo Ruffini

2)
impossible as the corner of one side has the same color, meaning there are 30 of one color squares and 32 of another, not being able to cut a domino in half, makes this impossible

3)
Neils Abel died at 27 and Paolo Ruffini died at 57


part 1)

1)

1	2	3	4	5	6	7
6	7	5	4	3	1	2

2)
pi

4	1	2	3

pi^2

3	4	1	2

pi^3

2	3	4	1

pi^4

1	2	3	4

pi^5

4	1	2	3

3)

(1	3	2)(4	5)	
(3	2	1)(5	4)

6 identity permutation

4)
1	2	3	4	5
3	1	2	5	4

b)
3	1	2	5	4
1	2	3	4	5

1	2	3	4	5
2	3	1	5	4