Tits Alternative for Maximal Subgroups of Skew Linear Groups

DOI10.1080/00927870903400063zbMath1204.20069OpenAlexW1992522684MaRDI QIDQ3579906

M. Mahdavi-Hezavehi, Dariush Kiani

Publication date: 11 August 2010

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

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.70.2260

zbMATH Keywords

maximal subgroupsTits alternativeskew linear groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Other matrix groups over rings (20H25) Finite-dimensional division rings (16K20)

Related Items (3)

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

Cites Work

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• Are there free groups in division rings?
• Tits alternative for maximal subgroups of \(\text{GL}_n(D)\).
• Finitely generated subnormal subgroups of \(\text{GL}_n(D)\) are central
• 2-generator conditions in linear groups
• Free subgroups in linear groups
• Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings

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