Orbits of Sylow subgroups of finite permutation groups

DOI10.1016/j.jalgebra.2021.06.017OpenAlexW3174559627MaRDI QIDQ2153304

Alexander Bors, Alice Devillers, Cheryl E. Praeger, John Bamberg, Michael Giudici, Gordon F. Royle

Publication date: 4 July 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.00448

zbMATH Keywords

permutation groupsSylow subgroupsprimitive groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Primitive groups (20B15) General theory for finite permutation groups (20B05)

Uses Software

• GAP
• Magma

Cites Work

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• Abundant \(p\)-singular elements in finite classical groups.
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• Interrelations of symplectic and orthogonal groups in characteristic two
• The Magma algebra system. I: The user language
• Prime localizations of Burger-Mozes-type groups
• Proportions of elements with given 2-part order in finite classical groups of odd characteristic.
• Classical Groups, Derangements and Primes
• Permutation Groups and Cartesian Decompositions
• Groups acting on trees: From local to global structure

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