Almost perfect group

Almost perfect group

In mathematics, a subgroup A of a group G is said to be almost perfect if every element a of A may be written as a product of commutators a'g(a')-1g-1, where a' is in A and g is in G. This is intended to contrast a perfect group P, in which every element p in P may be written as a product of commutators p1p2(p1)-1(p2)-1, where p1 and p2 are in P.


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