Answer to Question #100757 in Abstract Algebra for veekay

Question

If G is a group of order 12, then G has no element of order 5. Is it true or false? Explain your answer.

Answer 1

The given statement is true.

Result : if G is a group and x is an element of G then order of x divides the order of G.

Here o(G)=12 and o(x)=5 and 5 does not divide 12 so G has no element of order 5