Abstract:
We investigate the number of decompositions of random permutation
of the $n$-th order into the product of two involutions with given cycle in one of
multipliers. Theorems on the asymptotical logarithmic normality of this number as
$n\to\infty$ are proved.
Key words:random permutations, decomposition of permutation, product of involutions,
asymptotic logarithmic normality.
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