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Symmetric group of degree

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Reference no: EM13965122

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)}?

Reference no: EM13965122

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