Reprint of: Is the projective cover of the trivial module in characteristic 11 for the sporadic simple Janko group J4 a permutation module?

Key Points

• The study aims to determine the ordinary character of the projective cover of the trivial module in characteristic 11 for the Janko group J4.
• Analysis of the character of the projective cover
• Examination of the trivial module in characteristic 11
• Exploration of the sporadic simple Janko group J4.
• Identified the ordinary character of the projective cover
• Confirmed the conditions in which the trivial module behaves as a permutation module in the Janko group J4.