scientific article; zbMATH DE number 1788329
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Publication:4550573
zbMath1001.16010MaRDI QIDQ4550573
Publication date: 25 August 2002
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general linear groupsnormal subgroupsgroups of unitscommutator subgroupscentral division algebrasreduced Whitehead groupsreduced norms
Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60)
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Tits alternative for maximal subgroups of \(\text{GL}_n(D)\). ⋮ On the non-triviality of \(G(D)\) and the existence of maximal subgroups of \(\text{GL}_1(D)\). ⋮ Free subgroups in maximal subgroups of \(\text{GL}_1(D)\) ⋮ On the existence of normal maximal subgroups in division rings
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