2-Engel relations between subgroups

DOI10.1016/j.jalgebra.2015.08.030zbMath1371.20044OpenAlexW1827338102MaRDI QIDQ897754

Peter Hauck, M. Pilar Gállego, María Dolores Pérez-Ramos

Publication date: 7 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.08.030

zbMATH Keywords

nilpotency classcommutator\(\mathcal{N}_{2}\)-connection2-Engel condition

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Nilpotent groups (20F18) Engel conditions (20F45)

Related Items (2)

Thompson-like characterization of solubility for products of finite groups ⋮ A NILPOTENCY-LIKE CONDITION FOR INFINITE GROUPS

Uses Software

• GAP

Cites Work

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• Saturated formations and products of connected subgroups.
• The Engel elements of a soluble group
• Die \(A\)-Norm einer Gruppe
• Soluble products of connected subgroups.
• Finite soluble groups
• Some subgroups defined by identities
• Products of \(\mathcal N\)-connected groups.
• On finite groups generated by strongly cosubnormal subgroups
• On 2-generated subgroups and products of groups
• On finite soluble products of 𝒩-connected groups
• SOLVABILITY OF FACTORIZED FINITE GROUPS
• A note on the product of F-subgroups in a finite group
• Endliche Gruppen I

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