On Subgroups of the Multiplicative Group of Skew Fields
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Publication:4122090
DOI10.2307/2041055zbMath0352.20026OpenAlexW4248253892MaRDI QIDQ4122090
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Publication date: 1977
Full work available at URL: https://doi.org/10.2307/2041055
Related Items (31)
Are there free groups in division rings? ⋮ Free subgroups in linear groups over some skew fields ⋮ Free Subgroups of Normal Subgroups of the Multiplicative Group of Skew Fields ⋮ Free symmetric and unitary pairs in group algebras with involution ⋮ Free subgroups of division algebras ⋮ Multiplicative subgroups in weakly locally finite division rings ⋮ A note on the existence of non-cyclic free subgroups in division rings. ⋮ Free subgroups in almost subnormal subgroups of general skew linear groups ⋮ Free symmetric and unitary pairs in division rings infinite-dimensional over their centers. ⋮ Free symmetric and unitary pairs in the field of fractions of torsion-free nilpotent group algebras ⋮ Maximal subgroups of \(\mathrm{SL}_{n}(D)\) ⋮ Free group algebras in division rings with valuation I ⋮ Free unit groups in group rings and division rings: My collaboration with Don Passman ⋮ A NOTE ON SUBNORMAL SUBGROUPS IN DIVISION RINGS CONTAINING SOLVABLE SUBGROUPS ⋮ Permutable subgroups in \(\mathrm{GL}_n (D)\) and applications to locally finite group algebras ⋮ Free symmetric pairs in the field of fractions of enveloping Lie algebras with involution ⋮ Locally solvable maximal subgroups in division rings ⋮ On free group algebras in division rings with uncountable center ⋮ Tits alternative for maximal subgroups of \(\text{GL}_n(D)\). ⋮ On normal subgroups of multiplicative group of skew fields generated by a polycyclic-by-finite group ⋮ Associative rings ⋮ The soluble subgroups and the Tits alternative in linear groups over rings of fractions of polycyclic group rings. I ⋮ Free subgroups in maximal subgroups of \(\text{GL}_1(D)\) ⋮ Free Subsemigroups of Domains ⋮ Free groups in normal subgroups of the multiplicative group of a division ring. ⋮ On free subsemigroups of associative algebras ⋮ Free pairs of symmetric elements in normal subgroups of division rings ⋮ On free subgroups in division rings ⋮ Free subgroups in \(k(x_{1},\ldots,x_{n})(X;\sigma)\) and \(k(x,y)(X;\sigma)\) ⋮ Free products of units in algebras. I: Quaternion algebras ⋮ Explicit free groups in division rings
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