Finite primitive groups and edge-transitive hypergraphs
نویسندگان
چکیده
منابع مشابه
Most primitive groups are full automorphism groups of edge-transitive hypergraphs
We prove that, for a primitive permutation group G acting on a set X of size n, other than the alternating group, the probability that Aut(X, Y ) = G for a random subset Y of X, tends to 1 as n → ∞. So the property of the title holds for all primitive groups except the alternating groups and finitely many others. This answers a question of M. H. Klin. Moreover, we give an upper bound n for the ...
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2016
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-015-0651-9