ON THE LIMIT DISTRIBUTION OF THE NUMBER OF CYCLES AND THE LOGARITHM OF THE ORDER OF A CLASS OF PERMUTATIONS

DOI10.1070/SM1982V042N04ABEH002401zbMath0511.60022OpenAlexW1999012586MaRDI QIDQ4748898

A. I. Pavlov

Publication date: 1982

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/71263

zbMATH Keywords

random permutationasymptotically normallimit distribution of the number of cycles

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05) Symmetric groups (20B30) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Probabilistic methods in group theory (20P05)

Related Items (4)

Limit theorems for the logarithm of the order of a random \(A\)-mapping ⋮ Asymptotics with remainder term for moments of the total cycle number of random \(A\)-permutation ⋮ A limit theorem for the logarithm of the order of a random A-permutation ⋮ Permutations with orders coprime to a given integer

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