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Correction phi(1)= 0 This map is missing
You are right
Why choosing 1 for homomorphism
Since Z(24) is cyclic, you can use phi(1) to derive all other phi(x), s.t. phi(x) = phi(1) * x mod 18.
Rank nullity theorem!Independence is dual to dependence.
our professor made a mistake in the last example : the identities in Z24 and Z18 are both zero.
V
Correction phi(1)= 0
This map is missing
You are right
Why choosing 1 for homomorphism
Since Z(24) is cyclic, you can use phi(1) to derive all other phi(x), s.t. phi(x) = phi(1) * x mod 18.
Rank nullity theorem!
Independence is dual to dependence.
our professor made a mistake in the last example : the identities in Z24 and Z18 are both zero.
V