A finitely presented group is a group with a finite number of generators and relations.

A mathematical joke involving finitely presented groups is given by Renteln and Dundes (2005).

Q: What's purple, round, and doesn't get much for Christmas? A: A finitely presented grape.

*Portions of this entry contributed by David
Terr*

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## References

Renteln, P. and Dundes, A. "Foolproof: A Sampling of Mathematical Folk Humor." *Notices Amer. Math. Soc.* **52**, 24-34,
2005.## Referenced on Wolfram|Alpha

Finitely Presented Group
## Cite this as:

Terr, David and Weisstein, Eric W. "Finitely Presented Group." From *MathWorld*--A
Wolfram Web Resource. https://mathworld.wolfram.com/FinitelyPresentedGroup.html

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