Abstract
AbstractWe 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
$p \equiv \pm 2, \pm 3, \pm 4, \pm 6 \ \pmod {13}$
.
Publisher
Canadian Mathematical Society