Question

Suppose that aEG and a>4. What must the order of a be in the following cases? A) a^5=a^11 B) a^2011=a^2019 C) a^256=a^267

Answer 1

This is for Cyclic Groups and Orders in Cyclic Groups

Answer 2

what deas aEG mean?

Answer 3

if I recall correctly, you are doing "clock" addition. but I could be mistaken

Answer 4

Could it mean Equal or Greater?

Answer 5

it means that a is equivalent to the group G

Answer 6

I am sorry it means that a is an element of group G

Answer 7

Thanks

Answer 8

amistre i believe it can be done through "clock" addition

Answer 9

hmm.... what are the elements of group G?

Answer 10

the elements in g would have to be greater than 4 at least :)

Answer 11

right the order is larger than 4. The question wants me to find the order.