Generating wreath products of symmetric and alternating groups

DOI10.53733/108OpenAlexW3155057434MaRDI QIDQ5027643

James East, James D. Mitchell

Publication date: 7 February 2022

Published in: New Zealand Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05378

zbMATH Keywords

symmetric groupswreath productsgenerating setsalternating groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Symmetric groups (20B30) Subgroups of symmetric groups (20B35)

Uses Software

• GAP

Cites Work

• Unnamed Item
• Probabilistic generation of finite simple groups
• Finite groups, 2-generation and the uniform domination number
• The rank of the endomorphism monoid of a uniform partition.
• Generation and random generation: from simple groups to maximal subgroups.
• Generating Symmetric Groups
• The probability of generating the symmetric group

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