Quote:
Originally Posted by lime
The operation in this group is addition.
That means that x^3 = x+x+x
x^n = x+x+...+x (n times) = nx
|
hi lime, theres so mention of it being a group with addition operation. Also if we consider it to a normal power and equate 2 elements x^5=x^9 ..we get x^4=1 ..4=order
thus the group x^(13n) = {1,x,x^2,x^3} ie 4 elements but as this is not in the options we can take x^3=x^9 ..this is just a made up solution though. I think u r correct..but im just wondering how is it an additive group?
Also can u clear one doubt of mine..
What do u mean by order of a SUBGROUP?
The order of the group = number of elements in the group or equivalently we can say a^n=1 then n=order of the group.
Does the same defn hold for order of a subgroup? is it the number of elements in the subgroup?
Thanks a lot lime! have u given your subject gre already?
