What is the rank (minimal number of group generators) of the group $GL(n,F)$, when $F$ is a finite field of odd order? I found that $SL(n,F)$ is $2$, but I can't find this information.
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1$\begingroup$ Have you tried Googling something like "generators of finite general linear groups"? $\endgroup$– Jeremy RickardCommented Aug 13, 2015 at 11:05
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$\begingroup$ P.S. Is there a general formula (for odd and even $q$-s)? $\endgroup$– newbieCommented Aug 13, 2015 at 11:05
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$\begingroup$ No, I always searched by the "rank" term. Thank you for that suggestion. $\endgroup$– newbieCommented Aug 13, 2015 at 11:07
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1 Answer
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Sorry for the silly question... I haven't searched the right way. Here is the answer: book1