On multiplicative subgroups in division rings

DOI10.1142/S021949881650050XzbMath1343.16032arXiv1302.0589OpenAlexW3099643820MaRDI QIDQ2797005

Buj Suan Khaj, Nguyen Anh Tu

Publication date: 30 March 2016

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

Full work available at URL: https://arxiv.org/abs/1302.0589

zbMATH Keywords

maximal subgroupssubnormal subgroupsmultiplicative groups of division ringslocally nilpotent subgroupslocally soluble subgroups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Generalizations of solvable and nilpotent groups (20F19) Infinite-dimensional and general division rings (16K40) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60)

Related Items (7)

Maximal subgroups of almost subnormal subgroups in division rings ⋮ Multiplicative subgroups in weakly locally finite division rings ⋮ Maximal subgroups of \(\mathrm{SL}_{n}(D)\) ⋮ Locally solvable maximal subgroups in division rings ⋮ Free subgroups in maximal subgroups of skew linear groups ⋮ Free subgroups in maximal subgroups of SLn(D) ⋮ On locally solvable subgroups in division rings

Cites Work

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• On locally nilpotent maximal subgroups of the multiplicative group of a division ring.
• On locally solvable maximal subgroups of the multiplicative group of a division ring.
• Multiplicative commutators in division rings. II
• Conjugates in Division Rings
• On the Multiplicative Group of a Division Ring
• On derived groups of division rings II
• A Generalization of the Cartan-Brauer-Hua Theorem

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