Consider the group Z8Z with addition Which of the following

Consider the group Z/8Z with addition. Which of the following is NOT a subgroup?

{[0]}

{[0], [1], [2], [3], [4], [5], [6], [7]}

{[0], [4]}

{[0], [3], [6]}

Solution

Solution: Sir Z/8Z what ? means what type of group of Z

let Z is group with addition and also 8Z too, 8 which is quantity to multiply and take a common to the group

after analysis of all option we get result is second option is not subgroup, because in second option not take a common to the group element but in option no. a), c) & d) can take a common 0, 4, & 3 respectively

therefore option b) is answer