Number of solutions of the equation \(x^ s=e\) in the symmetric group

DOI10.1007/BF01159112zbMath0613.05003OpenAlexW2085355003MaRDI QIDQ1088664

L. M. Volynets

Publication date: 1986

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01159112

zbMATH Keywords

number of solutionsasymptotic behavioursymmetric groupasymptotic relationpermutations of same order

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Asymptotic results on counting functions for algebraic and topological structures (11N45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Symmetric groups (20B30)

Related Items (3)

Statistics of finite degree covers of torus knot complements ⋮ Unnamed Item ⋮ On permutations of order dividing a given integer

Cites Work

• On Solutions of x^d = 1 In Symmetric Groups
• Unnamed Item

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