Order of the element a^2 in the multiplicative froup G = {a, a^2, ^3, g4, A5, a^6=e} is Select one: O a. 3 O b. 1 O c. 4 O d. 2 ?
Answers
Answered by
0
The order of in the group is 3.
- The quantity of a finite group's elements determines its order in mathematics. If a group is infinitely large, its order is said to be infinite. The order of a group's elements, also known as period length or period, is the order of the subgroup that element created.
- The lowest positive integer m such that = e, where e denotes the identity element of the group and signifies the product of m copies of a, is the order of an element an of a group if the group operation is specified as a multiplication. The order of an is limitless if there is no such thing as m.
Now, according to the given information, the multiplicative group G is defined as: { }
Now, is equal to which is equal to e, that is, the identity element in the group.
Then, the order of in the group is 3.
Learn more here
https://brainly.in/question/36952214
#SPJ1
Similar questions