Finite nilpotent groups that coincide with their 2-closures in all of their faithful permutation representations

DOI10.1142/S0219498818500652zbMath1494.20002arXiv1611.01634MaRDI QIDQ4638599

Alireza Abdollahi, Majid Arezoomand

Publication date: 27 April 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01634

zbMATH Keywords

nilpotent grouppermutation group2-closuretotally 2-closed group

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) General theory for finite permutation groups (20B05)

Related Items (4)

Closures of finite permutation groups ⋮ Total closure for permutation actions of finite nonabelian simple groups ⋮ On finite totally \(2\)-closed groups ⋮ Abelian permutation groups with graphical representations

Uses Software

• MathOverflow

Cites Work

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• Invariant relations and Aschbacher classes of finite linear groups.
• Groups of prime power order. Vol. 1.
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• On elements of prime order in primitive permutation groups
• Estimation of Sylow subgroups in primitive permutation groups
• Graph isomorphism problem and \(2\)-closed permutation groups
• On the 2-Closures of Finite Permutation Groups
• Closures of Finite Primitive Permutation Groups
• Two-closure of odd permutation group in polynomial time

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