Locally solvable subnormal and quasinormal subgroups in division rings

DOI10.32917/h2020034zbMath1491.16020arXiv1903.11216OpenAlexW3217095657MaRDI QIDQ2073416

Le Qui Danh, Huynh Viet Khanh

Publication date: 2 February 2022

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11216

zbMATH Keywords

division ringsubnormal subgroupquasinormal subgrouplocally solvable subgroup

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Finite-dimensional division rings (16K20)

Related Items

A NOTE ON SUBNORMAL SUBGROUPS IN DIVISION RINGS CONTAINING SOLVABLE SUBGROUPS, Locally solvable maximal subgroups in division rings, Unnamed Item

Cites Work

• Unnamed Item
• On locally solvable maximal subgroups of the multiplicative group of a division ring.
• Soluble and locally soluble skew linear groups
• Multiplicative commutators in division rings
• On locally solvable subgroups in division rings
• Permutable subgroups of infinite groups
• Multiplicative groups of division rings
• Algebraic Division Ring Extensions
• On Locally Nilpotent Subgroups ofGL₁(D)
• Locally nilpotent skew linear groups II
• Subnormal, Core-Free, Quasinormal Subgroups are Solvable
• GOLDIE SUBRINGS OF ARTINIAN RINGS GENERATED BY GROUPS
• Some skew linear groups with Engel's condition
• A Generalization of the Cartan-Brauer-Hua Theorem