ok, my head hurts. i don't think we covered modulo arithmetic in details. that might have been in a previous class but I've forgotten about it. maybe i will go and revisit it.
yes i was saying that <5> means an order of 10 since there's {0, 5, 10, ..45} 10 elements in the set before it reaches the identity- which is 50. so at 50 it would go back to 5. but I'm just not really suer how u determine which elements are duplications of one another like how 45 and 15 is the...
<x> is suppose to mean the order of the element, so <5> means any elements with order 5? so.. in terms of group addition, that would mean if x = 5, then it gets added five times before it becomes the identity?
sorry lol I'm so bad at this
Homework Statement
Find all elements x in Z50 such that <x> = <5>
Homework Equations none really
The Attempt at a Solution
I thought <5> would be equal to {0, 5, 10, 15 ... 45} but that doesn't seem to be correct... can anyone tell me what I'm doing wrong?