Sets of permutations that generate the symmetric group pairwise
نویسندگان
چکیده
منابع مشابه
Sets of permutations that generate the symmetric group pairwise
The paper contains proofs of the following results. For all sufficiently large odd integers n, there exists a set of 2n−1 permutations that pairwise generate the symmetric group Sn. There is no set of 2n−1 + 1 permutations having this property. For all sufficiently large integers n with n≡ 2 mod 4, there exists a set of 2n−2 even permutations that pairwise generate the alternating group An. The...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2006
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2006.01.001