Geodesic
Modular forms and some cases of the Inverse Galois Problem
Canadian mathematical bulletin, Tome 66 (2023) no. 2, pp. 568-586

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DOI

We prove new cases of the Inverse Galois Problem by considering the residual Galois representations arising from a fixed newform. Specific choices of weight $3$ newforms will show that there are Galois extensions of ${\mathbb Q}$ with Galois group $\operatorname {PSL}_2({\mathbb F}_p)$ for all primes p and $\operatorname {PSL}_2({\mathbb F}_{p^3})$ for all odd primes $p \equiv \pm 2, \pm 3, \pm 4, \pm 6 \ \pmod {13}$.
DOI : 10.4153/S0008439522000534
Mots-clés : Inverse Galois Problem, modular forms, Galois representations 
Zywina, David. Modular forms and some cases of the Inverse Galois Problem. Canadian mathematical bulletin, Tome 66 (2023) no. 2, pp. 568-586. doi: 10.4153/S0008439522000534
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     title = {Modular forms and some cases of the {Inverse} {Galois} {Problem}},
     journal = {Canadian mathematical bulletin},
     pages = {568--586},
     year = {2023},
     volume = {66},
     number = {2},
     doi = {10.4153/S0008439522000534},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000534/}
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