Free subgroups in maximal subgroups ofGLn(D)

DOI10.1080/00927872.2016.1244678zbMath1368.16025OpenAlexW2556375943MaRDI QIDQ4977638

R. Fallah-Moghaddam, M. Mahdavi-Hezavehi

Publication date: 16 August 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1244678

zbMATH Keywords

division ringmaximal subgroupfree subgroup

Mathematics Subject Classification ID

Maximal subgroups (20E28) Other matrix groups over rings (20H25) Finite-dimensional division rings (16K20)

Related Items (4)

Maximal subgroups of \(\mathrm{SL}_{n}(D)\) ⋮ Locally solvable maximal subgroups in division rings ⋮ Free subgroups in maximal subgroups of skew linear groups ⋮ Free subgroups in maximal subgroups of SLn(D)

Cites Work

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• (Locally soluble)-by-(locally finite) maximal subgroups of \(\text{GL}_n(D)\).
• On maximal subgroups of the multiplicative group of a division algebra.
• 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 \(\text{GL}_n(D)\).
• Free subgroups in linear groups
• Locally Finite Conditions on Maximal Subgroups of GL_n(D)
• UNIT GROUPS OF CENTRAL SIMPLE ALGEBRAS AND THEIR FRATTINI SUBGROUPS
• Existence of Nonabelian Free Subgroups in the Maximal Subgroups of GL_n(D)
• Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)

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