On locally solvable maximal subgroups of the multiplicative group of a division ring.

zbMath1215.16028arXiv1007.1288MaRDI QIDQ712296

Dang Vu Phuong Ha, Buj Suan Khaj

Publication date: 28 October 2010

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1288

zbMATH Keywords

division ringslocally soluble maximal subgroupsskew linear groups of degree 1

Mathematics Subject Classification ID

Maximal subgroups (20E28) Infinite-dimensional and general division rings (16K40) Other matrix groups over rings (20H25) Finite-dimensional division rings (16K20) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Units, groups of units (associative rings and algebras) (16U60)

Related Items (8)

Maximal subgroups of almost subnormal subgroups in division rings ⋮ On subnormal subgroups in general skew linear groups. ⋮ Multiplicative subgroups in weakly locally finite division rings ⋮ Corrigendum to the proofs of some theorems in the article ``On the radicality of maximal subgroups in \(\mathrm{GL}_n(D)\). ⋮ On the radicality of maximal subgroups in \(\mathrm{GL}_n(D)\). ⋮ On multiplicative subgroups in division rings ⋮ On locally solvable subgroups in division rings ⋮ Locally solvable subnormal and quasinormal subgroups in division rings

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