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Polyhedral groups in G<sub>2</sub>(C)
We classify embeddings of the finite groups A4, S4 and A5 in the Lie group G2(C) up to conjugation.
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| Main Authors: | , , |
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| Format: | Default Article |
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2022
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| Online Access: | https://hdl.handle.net/2134/21229646.v1 |
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| _version_ | 1818165351602454528 |
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| author | Vincent Knibbeler Sara Lombardo Casper Oelen |
| author_facet | Vincent Knibbeler Sara Lombardo Casper Oelen |
| author_sort | Vincent Knibbeler (4742670) |
| collection | Figshare |
| description | We classify embeddings of the finite groups A4, S4 and A5 in the Lie group G2(C) up to conjugation. |
| format | Default Article |
| id | rr-article-21229646 |
| institution | Loughborough University |
| publishDate | 2022 |
| record_format | Figshare |
| spelling | rr-article-212296462022-08-11T00:00:00Z Polyhedral groups in G<sub>2</sub>(C) Vincent Knibbeler (4742670) Sara Lombardo (4425862) Casper Oelen (11822861) embeddings of finite groups representations of finite groups exceptional Lie groups <p>We classify embeddings of the finite groups A<sub>4</sub>, S<sub>4</sub> and A<sub>5</sub> in the Lie group G<sub>2</sub>(C) up to conjugation.</p> 2022-08-11T00:00:00Z Text Journal contribution 2134/21229646.v1 https://figshare.com/articles/journal_contribution/Polyhedral_groups_in_G_sub_2_sub_C_/21229646 CC BY 4.0 |
| spellingShingle | embeddings of finite groups representations of finite groups exceptional Lie groups Vincent Knibbeler Sara Lombardo Casper Oelen Polyhedral groups in G<sub>2</sub>(C) |
| title | Polyhedral groups in G<sub>2</sub>(C) |
| title_full | Polyhedral groups in G<sub>2</sub>(C) |
| title_fullStr | Polyhedral groups in G<sub>2</sub>(C) |
| title_full_unstemmed | Polyhedral groups in G<sub>2</sub>(C) |
| title_short | Polyhedral groups in G<sub>2</sub>(C) |
| title_sort | polyhedral groups in g<sub>2</sub>(c) |
| topic | embeddings of finite groups representations of finite groups exceptional Lie groups |
| url | https://hdl.handle.net/2134/21229646.v1 |