On the radicality of maximal subgroups in \(\mathrm{GL}_n(D)\).

DOI10.1016/j.jalgebra.2012.04.027zbMath1269.20046OpenAlexW2318608320MaRDI QIDQ1939322

Buj Suan Khaj, Trinh Thanh Deo, Mai Hoang Bien

Publication date: 4 March 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.04.027

zbMATH Keywords

general linear groupsmaximal subgroupsdivision rings

Mathematics Subject Classification ID

Maximal subgroups (20E28) Infinite-dimensional and general division rings (16K40) Other matrix groups over rings (20H25)

Related Items (10)

Maximal subgroups of almost subnormal subgroups in division rings ⋮ On subnormal subgroups in general skew linear groups. ⋮ On the algebraicity of bounded degree in division rings ⋮ Multiplicative subgroups in weakly locally finite division rings ⋮ A note on the existence of non-cyclic free subgroups in division rings. ⋮ Free subgroups in almost subnormal subgroups of general skew linear groups ⋮ Corrigendum to the proofs of some theorems in the article ``On the radicality of maximal subgroups in \(\mathrm{GL}_n(D)\). ⋮ Locally finite central simple algebras ⋮ Free subgroups in maximal subgroups of skew linear groups ⋮ On weakly locally finite division rings

Cites Work

• On locally solvable maximal subgroups of the multiplicative group of a division ring.
• Tits alternative for maximal subgroups of \(\text{GL}_n(D)\).
• Maximal subgroups of \(\text{GL}_n(D)\)
• Nilpotent maximal subgroups of \(\text{GL}_n(D)\).
• On subgroups in division rings of type 2
• Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)
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