Quasisimple group

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In mathematics, a quasisimple group (also known as a covering group) is a group that is a perfect central extension E of a simple group S. In other words, there is a short exact sequence

1 → Z(E) → E → S → 1

such that E = [E, E] where Z(E) denotes the center of E and [ , ] denotes the commutator.

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