The 3-closure of a solvable permutation group is solvable

DOI10.1016/j.jalgebra.2021.07.002OpenAlexW3116258519MaRDI QIDQ2153325

E. A. O'Brien, Andrey V. Vasilev, Ilya Nikolaevich Ponomarenko, Evgeny P. Vdovin

Publication date: 4 July 2022

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

Full work available at URL: https://arxiv.org/abs/2012.14166

zbMATH Keywords

finite groupspermutation groups\(m\)-closure

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

Related Items (3)

Closures of finite permutation groups ⋮ On computing the closures of solvable permutation groups ⋮ The closures of wreath products in product action

Uses Software

• GAP
• Magma
• IRREDSOL
• COCO2P

Cites Work

• Regular orbits of finite primitive solvable groups. II.
• Invariant relations and Aschbacher classes of finite linear groups.
• Two-closures of supersolvable permutation groups in polynomial time
• Regular orbits of finite primitive solvable groups
• The primitive soluble permutation groups of degree less than 256
• The Magma algebra system. I: The user language
• Regular orbits of finite primitive solvable groups. III
• Counterexamples to two conjectures in the Kourovka notebook
• On the 2-Closures of Finite Permutation Groups
• Closures of Finite Primitive Permutation Groups
• THE CARTER SUBGROUPS OF SOME CLASSICAL GROUPS
• The Minimal Base Size of Primitive Solvable Permutation Groups
• Constructing Maximal Subgroups of Classical Groups
• Two-closure of odd permutation group in polynomial time
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