Open AccessA Character Condition for Quadruple Transitivity
Author(s) -
Shuaa Aldhafeeri,
Robert T. Curtis
Publication year - 2011
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2011/757134
Subject(s) - mathematics , transitive relation , character (mathematics) , combinatorics , pure mathematics , geometry
Let be a permutation group of degree viewed as a subgroup of the symmetricgroup ≅. We show that if the irreducible character of corresponding to the partition of into subsets of sizes −2 and 2, that is, to say the character oftendenoted by (−2,2), remains irreducible when restricted to , then = 4, 5 or 9 and ≅3, A5, or PΣL2(8), respectively, or is 4-transitive
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