Tits alternative for maximal subgroups of \(\text{GL}_n(D)\).
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Publication:1421816
DOI10.1016/j.jalgebra.2003.09.028zbMath1037.20054OpenAlexW2050917129MaRDI QIDQ1421816
Publication date: 3 February 2004
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.09.028
Maximal subgroups (20E28) Other matrix groups over rings (20H25) Finite-dimensional division rings (16K20)
Related Items
FRATTINI SUBGROUP OF THE UNIT GROUP OF CENTRAL SIMPLE ALGEBRAS ⋮ Existence of Nonabelian Free Subgroups in the Maximal Subgroups of GLn(D) ⋮ Corrigendum to ``Tits alternative for maximal subgroups of \(\text{GL}_n(D)\). ⋮ 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 \(\mathrm{GL}_n(D)\). ⋮ Locally solvable maximal subgroups in division rings ⋮ Free subgroups in maximal subgroups of skew linear groups ⋮ Tits Alternative for Maximal Subgroups of Skew Linear Groups ⋮ Locally Finite Conditions on Maximal Subgroups of GLn(D)
Cites Work
- Are there free groups in division rings?
- Maximal subgroups of \(\text{GL}_1(D)\)
- Finitely generated subnormal subgroups of \(\text{GL}_n(D)\) are central
- 2-generator conditions in linear groups
- Free subgroups in linear groups
- The Cartan-Brauer-Hua Theorem for Matrix and Local Matrix Rings
- Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings
- On Subgroups of the Multiplicative Group of Skew Fields
- Soluble subgroups of the multiplicative group of a field
- Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)
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