A note on locally soluble almost subnormal subgroups in divsion rings

DOI10.22108/ijgt.2019.116399.1546zbMath1466.16016OpenAlexW2968518111MaRDI QIDQ5854501

Truong Huu Dung

Publication date: 17 March 2021

Full work available at URL: https://doaj.org/article/c9364e20f57b4cac8d924d27b4713d5f

zbMATH Keywords

division ringlocally soluble groupalmost subnormal subgroup

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Finite-dimensional division rings (16K20)

Cites Work

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• On subnormal subgroups in general skew linear groups.
• A note on the existence of non-cyclic free subgroups in division rings.
• Engel subnormal subgroups of skew linear groups
• Maximal subgroups of \(\text{GL}_n(D)\)
• On division subrings normalized by almost subnormal subgroups in division rings
• Free groups in normal subgroups of the multiplicative group of a division ring.
• On normal subgroups of division rings which are radical over a proper division subring
• Multiplicative groups of division rings
• On Locally Nilpotent Subgroups ofGL₁(D)
• Almost subnormal subgroups in division rings with generalized algebraic rational identities
• Free subgroups in almost subnormal subgroups of general skew linear groups
• Free subgroups in maximal subgroups of skew linear groups
• A Generalization of the Cartan-Brauer-Hua Theorem
• Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)

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