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On the minimal degree of a transitive permutation group with stabilizer a 2-group
| Content Provider | Scilit |
|---|---|
| Author | Potočnik, Primož Spiga, Pablo |
| Copyright Year | 2020 |
| Abstract | The minimal degree of a permutation group G is defined as the minimal number of non-fixed points of a non-trivial element of G. In this paper, we show that if G is a transitive permutation group of degree n having no non-trivial normal 2-subgroups such that the stabilizer of a point is a 2-group, then the minimal degree of G is at least 2 3 n {\frac{2}{3}n} . The proof depends on the classification of finite simple groups. |
| Related Links | https://www.degruyter.com/document/doi/10.1515/jgth-2020-0058/pdf |
| Ending Page | 634 |
| Page Count | 16 |
| Starting Page | 619 |
| ISSN | 14335883 |
| e-ISSN | 14354446 |
| DOI | 10.1515/jgth-2020-0058 |
| Journal | Journal of Group Theory |
| Issue Number | 3 |
| Volume Number | 24 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2020-12-15 |
| Access Restriction | Open |
| Subject Keyword | Journal of Group Theory Logic Minimal Degree Transitive Permutation Permutation Group Stabilizer Finite Frac Classification Journal: Journal of Group Theory, Issue- 2 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Algebra and Number Theory |
