| 1. | But at least he's done it against the perfect group of guys.
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| 2. | Lattice-theoretic characterizations of this type also exist for solvable groups and perfect groups.
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| 3. | In fact, the direct product of perfect groups is also perfect.
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| 4. | The same formula also holds when " G " is a perfect group.
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| 5. | A perfect group is one whose first integral homology vanishes.
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| 6. | The Schur covers of finite perfect groups are superperfect.
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| 7. | Any quotient of a perfect group is perfect.
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| 8. | We thought they'd be the perfect group to use for the plot . ", Jean said.
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| 9. | For a perfect group, the UCS always stabilizes by the first step, a fact called Gr�n's lemma.
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| 10. | Schur covers of finite perfect groups are superperfect, that is both their first and second integral homology vanish.
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