Invariable generation of the symmetric group
We say that permutations π1, ..., πr ∈ Sn invariably generate Sn if, no matter how one chooses conjugates π′1, ..., π′r of these permutations, π′1, ..., π′r generate Sn. We show that if π1, π2, π3 are chosen randomly from Sn then, with probability tending to 1 as n → ∞, they do not invariably genera...
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| Médium: | Journal article |
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Duke University Press
2017
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