Is there a group homomorphism s4 -gt a4 with kernel e 1
Note:
S4 means symmetric group of degree 4
A4 means alternating group of degree 4
e is the identity
Is there a group homomorphism $:S4 -> A4, with kernel $ = {e, (1 2)(3 4), (1 3)(2 4), (1 4)(2 3)}?
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