Non-abelian Groups
In the form stated here, the splitting lemma does not hold in the full category of groups, which is not an abelian category.
Read more about this topic: Splitting Lemma
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“In properly organized groups no faith is required; what is required is simply a little trust and even that only for a little while, for the sooner a man begins to verify all he hears the better it is for him.”
—George Gurdjieff (c. 18771949)
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