Perfect Group - Quasi-perfect Group

Quasi-perfect Group

Especially in the field of algebraic K-theory, a group is said to be quasi-perfect if its commutator subgroup is perfect; in symbols, a quasi-perfect group is one such that G(1) = G(2) (the commutator of the commutator subgroup is the commutator subgroup), while a perfect group is one such that G(1) = G (the commutator subgroup is the whole group). See (Karoubi 1973, pp. 301–411) and (Inassaridze 1995, p. 76).

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