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2 days ago comment added Carl-Fredrik Nyberg Brodda The relations given in the other question indeed seem wrong, but if you just follow the paper it links to (by Robertson & Williams) then you can easily find a presentation for $\operatorname{GL}(2,p)$ in there. Properly looking into all the information you've already been given is surely the bare minimum before you ask another question!
2 days ago comment added Carl-Fredrik Nyberg Brodda You say the relations between the generators for $\operatorname{GL}(2,p)$ were not given in your previous question, but this is not true. You were given a link to the book by Coxeter & Moser, which contains presentations for $\operatorname{GL}(2, p)$ for all primes $p$ on pp. 95-96.
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