A Character Condition for Quadruple Transitivity
نویسندگان
چکیده
منابع مشابه
A Character Condition for Quadruple Transitivity
LetG be a permutation group of degree n. The connection between themultiple transitivity of G and the irreducibility of certain irreducible characters of of the symmetric group Sn when restricted to G goes back to Frobenius, and a proof of his classical result can be found in Tsuzuku 1 . In 2 , Saxl strengthens this result, limiting the irreducibility hypothesis to the characters χ n−k,k G , a ...
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Suppose the group G is generated by permutations gvg2,...,g, acting on a set CI of size n, such that 8182--8, ' s the identity permutation. If the generator gt has exactly ci cycles (for 1 ^ / < s), and G is transitive on Ci, then n(s—2)—YJ'(-I c, + 2 is a non-negative even integer. This is proved using an elementary graph-theoretic argument. In this paper we give a simple proof of a necessary ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2011
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2011/757134