Is the projective cover of the trivial module in characteristic $11$ for the sporadic simple Janko group $J_4$ a permutation module?

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Main Author: Müller, Jürgen
Format: Preprint
Published: 2025
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author Müller, Jürgen
author_facet Müller, Jürgen
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_05805
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Is the projective cover of the trivial module in characteristic $11$ for the sporadic simple Janko group $J_4$ a permutation module?
Müller, Jürgen
Representation Theory
20C20, 20C34
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.
title Is the projective cover of the trivial module in characteristic $11$ for the sporadic simple Janko group $J_4$ a permutation module?
topic Representation Theory
20C20, 20C34
url https://arxiv.org/abs/2509.05805