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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2606.00589 |
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| _version_ | 1866913175649124352 |
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| author | Parker, Chris Rodrigues, B. G. |
| author_facet | Parker, Chris Rodrigues, B. G. |
| contents | Let $p$ be a prime, $G$ be a finite group, $H$ a proper subgroup of $G$ and $V$ a finite dimensional $GF(p)G$-module. The triple $(G,H,V)$ is immutable if and only if $G$ and $H$ have the same orbits on the vectors of $V$. We determine the immutable triples for $G$ a quasisimple group, $H$ a subgroup of $G$ and $V$ a $GF(2)G$-module. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_00589 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quasisimple groups with a proper subgroup having the same vector orbits in characteristic $2$ Parker, Chris Rodrigues, B. G. Group Theory Representation Theory Let $p$ be a prime, $G$ be a finite group, $H$ a proper subgroup of $G$ and $V$ a finite dimensional $GF(p)G$-module. The triple $(G,H,V)$ is immutable if and only if $G$ and $H$ have the same orbits on the vectors of $V$. We determine the immutable triples for $G$ a quasisimple group, $H$ a subgroup of $G$ and $V$ a $GF(2)G$-module. |
| title | Quasisimple groups with a proper subgroup having the same vector orbits in characteristic $2$ |
| topic | Group Theory Representation Theory |
| url | https://arxiv.org/abs/2606.00589 |