SOLUBLE MAXIMAL SUBGROUPS IN GLn(D)
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Publication:3117934
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
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
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- 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 \(\text{GL}_1(D)\)
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