A Character Condition for Quadruple Transitivity
| Autor: | S. Aldhafeeri, R. T. Curtis |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 2011 (2011) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/2011/757134 |
| Popis: | Let 𝐺 be a permutation group of degree 𝑛 viewed as a subgroup of the symmetric group 𝑆≅𝑆𝑛. We show that if the irreducible character of 𝑆 corresponding to the partition of 𝑛 into subsets of sizes 𝑛−2 and 2, that is, to say the character often denoted by 𝜒(𝑛−2,2), remains irreducible when restricted to 𝐺, then 𝑛 = 4, 5 or 9 and 𝐺≅𝑆3, A5, or PΣL2(8), respectively, or 𝐺 is 4-transitive. |
| Databáze: | Directory of Open Access Journals |
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