Most permutations power to a cycle of small prime length
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DOI: 10.1017/s0013091521000110
Abstract: Abstract We prove that most permutations of degree $n$ have some power which is a cycle of prime length approximately $\log n$. Explicitly, we show that for $n$ sufficiently large, the proportion of such elements… read more here.
Keywords: log log; log; power cycle; prime length ... See more keywords