Computing the Character Table of a 2-local Maximal Subgroup of the Monster
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910885998493696 |
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| author | Pisani, Anthony |
| author_facet | Pisani, Anthony |
| contents | We employ the recently developed hybrid and mmgroup computational models for groups to calculate the character table of $N(\rm{2B}^5) \cong 2^{5+10+20}.( \rm{S}_3 \times \rm{L}_5 {2} )$, a maximal subgroup of the Monster sporadic simple group. This completes the list of the character tables of maximal subgroups of the Monster. Our approach illustrates how the aforementioned computational models can be used to calculate relatively straightforwardly in the Monster. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15857 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Computing the Character Table of a 2-local Maximal Subgroup of the Monster Pisani, Anthony Group Theory Representation Theory 20-08, 20C15, 20D08 We employ the recently developed hybrid and mmgroup computational models for groups to calculate the character table of $N(\rm{2B}^5) \cong 2^{5+10+20}.( \rm{S}_3 \times \rm{L}_5 {2} )$, a maximal subgroup of the Monster sporadic simple group. This completes the list of the character tables of maximal subgroups of the Monster. Our approach illustrates how the aforementioned computational models can be used to calculate relatively straightforwardly in the Monster. |
| title | Computing the Character Table of a 2-local Maximal Subgroup of the Monster |
| topic | Group Theory Representation Theory 20-08, 20C15, 20D08 |
| url | https://arxiv.org/abs/2503.15857 |