Derangements in wreath products of permutation groups

DOI10.1007/s10801-023-01255-1arXiv2207.01215OpenAlexW4386221401MaRDI QIDQ6154419

Heiko Dietrich, Vishnuram Arumugam, Stephen P. Glasby

Publication date: 15 February 2024

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.01215

zbMATH Keywords

wreath productspermutation groupsfixed-point-free permutationsderangements

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) General theory for infinite permutation groups (20B07) Subgroups of symmetric groups (20B35)

Cites Work

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• Product action.
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• On a theorem of Jordan
• Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston–Shalev conjecture
• An Introduction to Infinite Products
• The proportion of derangements characterizes the symmetric and alternating groups

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