Cyclic and Permutation groups

The multiplication of disjoint cycles is Commutative

• TRUE

• FALSE

Product of disjoint cycles (1 3 2 ) (5 6 7 ) (2 6 1) (4 5 )

• (2 7 5 6 4 3)

• (2 7 4 5 6 3)

• (2 7 5 4 6 3)

• (2 7 5 4 3 6 )

The product of even permutation is an even permutation.

• FALSE

• TRUE

Permutation (1 3 4 7 5 6 2) is

• Even Permutation

• Odd Permutation

Every cyclic group is an abelian group

• FALSE

• TRUE

Every subgroup of cyclic group is not cyclic

• TRUE

• FALSE

(Z,+) has -1 and 1 are only generators

• TRUE

• FALSE

If O(G)=31,then G is not cyclic group

• TRUE

• FALSE

A group of prime order is cyclic

• TRUE

• FALSE