Conjugacy classes and centralisers in wreath products

DOI10.1016/j.jsc.2022.02.005OpenAlexW4213285031MaRDI QIDQ2133919

Friedrich Rober, Dominik Bernhardt, Lucas Wollenhaupt, Alice C. Niemeyer

Publication date: 5 May 2022

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.04645

zbMATH Keywords

conjugacy classeswreath productspermutation groupsconjugacy problemcycle decompositioncentralisers

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Extensions, wreath products, and other compositions of groups (20E22) Computational methods for problems pertaining to group theory (20-08)

Uses Software

• GAP
• Magma

Cites Work

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• Permutation group algorithms based on partitions. I: Theory and algorithms
• The Magma algebra system. I: The user language
• Computing conjugacy class representatives in permutation groups.
• Primitive Subgroups of Wreath Products in Product Action
• Conjugacy classes in finite permutation groups via homomorphic images
• Transitive simple subgroups of wreath products in product action
• Theory of Monomial Groups

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