Existence of Nonabelian Free Subgroups in the Maximal Subgroups of GLn(D)
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Publication:3191852
DOI10.1142/S100538671400042XzbMath1307.20043OpenAlexW2154564512MaRDI QIDQ3191852
R. Fallah-Moghaddam, M. Mahdavi-Hezavehi, H. R. Dorbidi
Publication date: 25 September 2014
Published in: Algebra Colloquium (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s100538671400042x
maximal subgroupsfree subgroupssubnormal subgroupsfinite-dimensional division ringsgeneral linear groups over division rings
Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Other matrix groups over rings (20H25) Finite-dimensional division rings (16K20)
Related Items (5)
Maximal subgroups of \(\mathrm{SL}_{n}(D)\) ⋮ Free subgroups in maximal subgroups of skew linear groups ⋮ Free subgroups in maximal subgroups of SLn(D) ⋮ On normal subgroups of the unit group of a quaternion algebra over a Pythagorean field ⋮ Free subgroups in maximal subgroups ofGLn(D)
Cites Work
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- Maximal subgroups of \(\text{GL}_1(D)\)
- Norm groups of global fields
- Tits alternative for maximal subgroups of \(\text{GL}_n(D)\).
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- The maximality of monomial subgroups of linear groups over division rings
- Maximal subgroups of \(\text{GL}_n(D)\)
- Free subgroups and free subsemigroups of division rings
- Nilpotent maximal subgroups of \(\text{GL}_n(D)\).
- Free subgroups in linear groups
- Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings
- A Note on Subnormal Subgroups of Division Algebras
- Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable
- On free group algebras in division rings with uncountable center
- Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)
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