The Computation of Fourier transforms on $SL_2(\mathbb{Z}/p^n\mathbb{Z}) and related numerical experiments

Benjamin K. Breen, Daryl R. Deford, Jason D. Linehan +1

We detail an explicit construction of ordinary irreducible representations for the family of finite groups $S{L}_2(\mathbb{Z}/p^n\mathbb{Z})$ for odd primes $p$ and $n\ge 2$. Fo…