Suppose that aEG and a4. 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

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

anonymous · Answer

This is for Cyclic Groups and Orders in Cyclic Groups

amistre64 · Answer

what deas aEG mean?

amistre64 · Answer

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

radar · Answer

Could it mean Equal or Greater?

anonymous · Answer

it means that a is equivalent to the group G

anonymous · Answer

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

radar · Answer

Thanks

anonymous · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

anonymous · Answer

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