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).

Read more about this topic:  Perfect Group

Famous quotes containing the word group:

    “Caprice, independence and rebellion, which are opposed to the social order, are essential to the good health of an ethnic group. We shall measure the good health of this group by the number of its delinquents. Nothing is more immobilizing than the spirit of deference.”
    —Jean Dubuffet (1901–1985)