The representation ring of ${\mathrm{SL}}_2({\mathbb{F}}_p)$ and stable modular plethysms of its natural module in characteristic $p$

Pavel Turek

Let $p$ be an odd prime and let $k$ be a field of characteristic $p$. We provide a practical algebraic description of the representation ring of $k{\mathrm{SL}}_2({\mathbb{F}}_p)$ modu…