The projective cover of the trivial module in characteristic $11$ for the sporadic simple Janko group $J_4$ revisited
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911246612168704 |
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| author | Müller, Jürgen |
| author_facet | Müller, Jürgen |
| contents | This is a sequel to arXiv:2509.05805 [math.RT], where we have determined the $11$-modular projective indecomposable summands of the permutation character of $J_4$ on the cosets of an $11'$-subgroup of maximal order, amongst them the projective cover of the trivial module, up to a certain parameter. Here, we fix this parameter, by applying a new condensation method for induced modules which uses enumeration techniques for long orbits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The projective cover of the trivial module in characteristic $11$ for the sporadic simple Janko group $J_4$ revisited Müller, Jürgen Representation Theory 20C20, 20C34 This is a sequel to arXiv:2509.05805 [math.RT], where we have determined the $11$-modular projective indecomposable summands of the permutation character of $J_4$ on the cosets of an $11'$-subgroup of maximal order, amongst them the projective cover of the trivial module, up to a certain parameter. Here, we fix this parameter, by applying a new condensation method for induced modules which uses enumeration techniques for long orbits. |
| title | The projective cover of the trivial module in characteristic $11$ for the sporadic simple Janko group $J_4$ revisited |
| topic | Representation Theory 20C20, 20C34 |
| url | https://arxiv.org/abs/2511.00939 |