How many elements of order 2 are there in the following abelian group of order 16? :
Z2 X Z2 X Z4
where Z2 is the integers mod 2 and Z4 is the integers mod 4.
How are these found?
Thanks for any help
How many elements of order 2 are there in the following abelian group of order 16? :
Z2 X Z2 X Z4
where Z2 is the integers mod 2 and Z4 is the integers mod 4.
How are these found?
Thanks for any help
In this case perhaps is easier to ask how many elements are NOT of order 2: first, note that every non-unit element is of order 2 or 4.
Now, if we agree to write the elements of the group in the form , then an element has order 4 iff it has either in the last entry...can you now count them all?
Tonio