On modular representations of semigroups \(S_p\times T_p\)

Abstract

Let \(p\) be simple, and let \(S_p\) and \(T_p\) be the symmetric group and the symmetric semigroup of degree \(p\), respectively. The theorem of this paper says  that the direct product    \(S_p\times T_p\) are of wild representation type over any field of characteristic \(p\). The main case is \(p=2\).