ohh yeah I am sorry about that...I was in hurry or something to write it down! but yeah I believe everything else is fine and I would not forget to mention that <a> is not equal to {e}..it is G!
Thanks!
oh yeah sure! I meant how would say, after constructing it! I forgot it is equal to {e} it is equal to G...this is what I get!
We could say that, let a E G - {e} then we construct <a> =
a, a^2, a^3... a^n=1 <- cyclic subgroup generated by element a.
Since <a> is subgroup, it must coincide with G...
Homework Statement
Prove that if a group G has no subgroup other than G and {e}, then G is cyclic....
Homework Equations
The Attempt at a Solution
we could say that, let a E G - {e} then we construct <a>...