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 Mat. Vopr. Kriptogr., 2017, Volume 8, Issue 1, Pages 80–94 (Mi mvk216)

The number of decomposition of random permutation into the product of two involutions with given cycle in one of multipliers

V. G. Mikhailov

Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow

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.

DOI: https://doi.org/10.4213/mvk216

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UDC: 519.212.2+519.115

Citation: V. G. Mikhailov, “The number of decomposition of random permutation into the product of two involutions with given cycle in one of multipliers”, Mat. Vopr. Kriptogr., 8:1 (2017), 80–94

Citation in format AMSBIB
\Bibitem{Mik17} \by V.~G.~Mikhailov \paper The number of decomposition of random permutation into the product of two involutions with given cycle in one of multipliers \jour Mat. Vopr. Kriptogr. \yr 2017 \vol 8 \issue 1 \pages 80--94 \mathnet{http://mi.mathnet.ru/mvk216} \crossref{https://doi.org/10.4213/mvk216} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3682440} \elib{http://elibrary.ru/item.asp?id=29864941}