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Grün's Lemma

If G is a perfect group, then the group center of the quotient group G/Z(G), where Z(G) is the group center of G, is the trivial group.

See also

Perfect Group

This entry contributed by Margherita Barile

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References

Rose, J. S. A Course in Group Theory. New York: Dover, p. 61, 1994.

Referenced on Wolfram|Alpha

Grün's Lemma

Cite this as:

Barile, Margherita. "Grün's Lemma." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/GruensLemma.html

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