# Has every finite group a minimal presentation ?

For a finite group $G$ let $d(G)$ be the minimal number of generators of $G$ and let $r(G)$ be the minimal number $r$ such that $G$ has a finite presentation with $r$ relators. Call a presentation with $d(G)$ generators and $r(G)$ relators a minimal presentation.

Question: Has every finite group a minimal representation ?

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This is an open question. –  user641 Oct 21 '12 at 4:08
I presume your question is means to read "Question: Has every finite group a minimal presentation ?" not representation. But I don't want to edit it, just in case... –  user1729 Oct 22 '12 at 12:05