Question

[Dec 2018] Define order of an element of a group and prove that in
finite group the order of every element exists.
(3 marts​

Answer 1

Step-by-step explanation:

The order of a group is its cardinality, i.e., the number of its elements. The order, sometimes period, of an element a of a group is the smallest positive integer m such that am = e (where e denotes the identity element of the group, and am denotes the product of m copies of a).