I think I am still confused on cyclic groups and generators of groups. When they say does that mean the set of elements generated by e? Wouldn't that be the whole group? Or is it just e because when you add(mult) e, you just keep getting e over and over?
Reflective:
I thought it was interesting that instead of the kernel being the set of things that are mapped to zero, it's the set of things that are mapped to the identity. In an additive group like Z, it would be the same thing, but in say the multiplicative group of units of Z8 it would be 1.
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