Is the projective cover of the trivial module in characteristic $11$ for the sporadic simple Janko group $J_4$ a permutation module?
Jürgen Müller
Published: 2025/9/6
Abstract
We determine the ordinary character of the projective cover of the trivial module in characteristic $11$ for the sporadic simple Janko group $J_4$, and answer the question posed in the title.