Orbits Flashcards
1
Q
Every permutation is a cycle.
A
False
2
Q
Every cycle is permutation
A
True
3
Q
The definition of even and odd permutation could have been given equally well before Theorem 9.15
A
False
4
Q
Every nontrivial subgroup H of S⁹ containing some odd permutation contains a transposition.
A
False
5
Q
A⁵ has 120 elements.
A
False
6
Q
Sn is not cyclic for any n>-1
A
False
7
Q
A³ is a commutative group
A
True
8
Q
S⁷ is isomorphic to the subgroup of all those elements of S⁸ that leave the number 8 fixed.
A
True
9
Q
S⁷ is isomorphic to the subgroup of all these elements of S⁸ that leave the number 5 fixed.
A
True
10
Q
The odd permutation in S⁸ form a subgroup of S⁸.
A
False
