On normal subgroups of division rings which are radical over a proper division subring

DOI10.1556/SScMath.51.2014.2.1265zbMath1316.16014arXiv1212.4532OpenAlexW2030414954MaRDI QIDQ2875473

Duong Hoang Dung, Mai Hoang Bien

Publication date: 14 August 2014

Published in: Studia Scientiarum Mathematicarum Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4532

zbMATH Keywords

centrally finite division ringsfinite-dimensional subalgebrasKurosh elementslocally finite division ringsnon-algebraic division rings

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60) Skew fields, division rings (12E15)

Related Items (6)

A note on locally soluble almost subnormal subgroups in divsion rings ⋮ Almost subnormal subgroups in division rings with generalized algebraic rational identities ⋮ Free subgroups in almost subnormal subgroups of general skew linear groups ⋮ Generalized power central group identities in almost subnormal subgroups of $\operatorname {GL}_n(D)$ ⋮ Algebraic commutators with respect to subnormal subgroups in division rings ⋮ Subnormal subgroups and self-invariant maximal subfields in division rings

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