Mathematics — Unit 1 — Test 17

Let G be a finite group with exactly one subgroup of order 5. Then

In S4, how many elements have order 2?

Let G be a group of order 28. Which statement must hold?

The commutator subgroup [S3,S3] equals

The number of elements of order 3 in A5 is

Let G be finite and H,K ≤ G with |G:H|=2 and |G:K|=3. Then |G:H∩K| is

In D_{2n} (order 2n), the number of reflections equals

Let G be a finite group with exactly two conjugacy classes. Then G is

Suppose G is cyclic of order n. The number of subgroups of G equals