Verification of the conjugacy classes and ordinary character table of the Monster
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917870409089024 |
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| author | Breuer, Thomas Magaard, Kay Wilson, Robert A. |
| author_facet | Breuer, Thomas Magaard, Kay Wilson, Robert A. |
| contents | As part of the programme to re-compute the character tables of all the groups in the Atlas we re-compute the character table of $\mathbb M$, the Monster simple group. We operate under the uniqueness hypotheses of $\mathbb M$ and the existence of an ordinary faithful representation of degree $196883 = 47.59.71$ and determine the conjugacy classes and centralizer orders of the elements of $\mathbb M$. Along the way we re-compute the character tables of centralizers of $p$-elements for $p < 11$ as well as fusions of conjugacy classes of these centralizers in $\mathbb M$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12182 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Verification of the conjugacy classes and ordinary character table of the Monster Breuer, Thomas Magaard, Kay Wilson, Robert A. Group Theory As part of the programme to re-compute the character tables of all the groups in the Atlas we re-compute the character table of $\mathbb M$, the Monster simple group. We operate under the uniqueness hypotheses of $\mathbb M$ and the existence of an ordinary faithful representation of degree $196883 = 47.59.71$ and determine the conjugacy classes and centralizer orders of the elements of $\mathbb M$. Along the way we re-compute the character tables of centralizers of $p$-elements for $p < 11$ as well as fusions of conjugacy classes of these centralizers in $\mathbb M$. |
| title | Verification of the conjugacy classes and ordinary character table of the Monster |
| topic | Group Theory |
| url | https://arxiv.org/abs/2412.12182 |