SOLUBLE MAXIMAL SUBGROUPS IN GLn(D)

DOI10.1142/S0219498811005233zbMath1248.20030OpenAlexW2112550525MaRDI QIDQ3117934

M. Mahdavi-Hezavehi, R. Fallah-Moghaddam, H. R. Dorbidi

Publication date: 1 March 2012

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

Full work available at URL: https://doi.org/10.1142/s0219498811005233

zbMATH Keywords

general linear groupssoluble maximal subgroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Maximal subgroups (20E28) Other matrix groups over rings (20H25) Finite-dimensional division rings (16K20)

Related Items (5)

Group algebras whose p-elements form a subgroup ⋮ Nilpotent and polycyclic-by-finite maximal subgroups of skew linear groups. ⋮ Locally solvable maximal subgroups in division rings ⋮ Free subgroups in maximal subgroups of skew linear groups ⋮ Locally solvable and solvable-by-finite maximal subgroups of \(\mathrm{GL}_n (D)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On maximal subgroups of the multiplicative group of a division algebra.
• On subgroups of the special linear group containing the special orthogonal group
• Maximal subgroups of \(\text{GL}_1(D)\)
• The maximality of monomial subgroups of linear groups over division rings
• Maximal subgroups of \(\text{GL}_n(D)\)
• Nilpotent maximal subgroups of \(\text{GL}_n(D)\).
• NORMALIZERS OF NILPOTENT SUBGROUPS OF DIVISION RINGS
• Group Identities and Prime Rings Generated by Units
• Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)

This page was built for publication: SOLUBLE MAXIMAL SUBGROUPS IN GL_n(D)