Powers in wreath products of finite groups

DOI10.1515/JGTH-2021-0057OpenAlexW4220875118MaRDI QIDQ2170272

Rijubrata Kundu, Sudipa Mondal

Publication date: 30 August 2022

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.04954

zbMATH Keywords

conjugacy classesgenerating functionsymmetric groupwreath productpower of elements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Extensions, wreath products, and other compositions of groups (20E22) Probabilistic methods in group theory (20P05)

Cites Work

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• Counting special permutations
• Counting permutations
• Enumeration of the square permutations in S\(_n\)
• Asymptotics of the powers in finite reductive groups
• Permutations with orders coprime to a given integer
• Representations of permutation groups. Part I
• Enumeration under two representations of the wreath product
• Asymptotic Methods in Enumeration
• On the number of permutations admitting an \(m\)th root

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