Abstract Algebra - 4.1 Cyclic Groups and Their Properties (𝑎^𝑖=𝑎^𝑗)

[@shiva_kondapalli]

In the a^i = a^j property, around the 10 minutes 14 seconds timestamp, should it not be 5^2 = 5^6. 6-2=4 right? A quick computation shows 10 mod 20 = 30 mod 20 = 10. Or am I missing something here?

[@AntimatterBeam8954]

You are right

[@CateJones-ef5ox]

Shouldn't Z_20 have a 0 as an element? (8:36)

[@SummiyaMumtaz]

In case we have t=2+3w as w^2=1 then what the value is t^2 ? It has mod 67 at t^66=(1,0). Waiting for your response