Fixing two points in primitive solvable groups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908327215104000 |
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| author | Lisi, Francesca Sabatini, Luca |
| author_facet | Lisi, Francesca Sabatini, Luca |
| contents | Consider a finite primitive solvable group. We observe that a result of Y. Yang implies that there exist two points whose pointwise stabilizer has derived length at most $9$. We show that, if the group has odd cardinality, then there exist two points whose pointwise stabilizer is abelian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09425 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fixing two points in primitive solvable groups Lisi, Francesca Sabatini, Luca Group Theory Combinatorics Representation Theory Primary 20B15 Consider a finite primitive solvable group. We observe that a result of Y. Yang implies that there exist two points whose pointwise stabilizer has derived length at most $9$. We show that, if the group has odd cardinality, then there exist two points whose pointwise stabilizer is abelian. |
| title | Fixing two points in primitive solvable groups |
| topic | Group Theory Combinatorics Representation Theory Primary 20B15 |
| url | https://arxiv.org/abs/2403.09425 |