On Multiple Transitivity of Permutation Groups
نویسندگان
چکیده
منابع مشابه
Transitivity of finite permutation groups on unordered sets
From any given permutation group acting on a finite collection of n points one can form, for each positive integer k<=n, two permutation groups by considering respectively the permutations induced by the given group on the unordered sets of k distinct points and those induced on the ordered sets of k distinct points. We consider relations between these two groups. Our main object is to prove Th...
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By a quasi-permutation matrix we mean a square matrix over the complex field C with non-negative integral trace. Thus, every permutation matrix over C is a quasipermutation matrix. For a given finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G (or of a faithful representation of G by permutation matrices), let q(G) denote the minimal degree of a fa...
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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: Nagoya Mathematical Journal
سال: 1961
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000002269