Without actually computing the orders, explain why the two elements in each of the following pairs of elements from Z30 must have the same order: {2, 28}, {8, 22}. Do the same for the following pairs of elements from U(15): {2, 8}, {7, 13}.
Consider the incomplete character table for a group given below:
All the conjugacy classes are there.
1) What is the order of the group?
2) How many characters are missing?
3) Find the missing character and complete the table.
4) Find the order of the Kemel of the missing character.
There are 2 photos inserted the one is the part 1 of the problem and the other is the part 2 . The picture with the number 1 is the part 1 and the x and y axis graph pic is part 2.