Free Subgroups of Normal Subgroups of the Multiplicative Group of Skew Fields
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Publication:4175388
DOI10.2307/2042827zbMath0394.16014OpenAlexW4246053382MaRDI QIDQ4175388
Publication date: 1978
Full work available at URL: https://doi.org/10.2307/2042827
Finite rings and finite-dimensional associative algebras (16P10) Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Free nonabelian groups (20E05) Units, groups of units (associative rings and algebras) (16U60) Division rings and semisimple Artin rings (16Kxx)
Related Items (18)
Free algebras and free groups in Ore extensions and free group algebras in division rings. ⋮ Are there free groups in division rings? ⋮ On Free Subsemigroups of Skew Fields ⋮ Free subgroups in almost subnormal subgroups of general skew linear groups ⋮ Free symmetric and unitary pairs in the field of fractions of torsion-free nilpotent group algebras ⋮ A NOTE ON SUBNORMAL SUBGROUPS IN DIVISION RINGS CONTAINING SOLVABLE SUBGROUPS ⋮ Free symmetric group algebras in division rings generated by poly-orderable groups. ⋮ On free group algebras in division rings with uncountable center ⋮ On normal subgroups of multiplicative group of skew fields generated by a polycyclic-by-finite group ⋮ Free Group Algebras in Division Rings with Valuation II ⋮ Associative rings ⋮ 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 products of units in algebras. I: Quaternion algebras ⋮ Explicit free groups in division rings ⋮ A commutativity theorem for division rings and an extension of a result of Faith
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