A note on the existence of non-cyclic free subgroups in division rings.
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Publication:387599
DOI10.1007/s00013-013-0576-2zbMath1291.16031OpenAlexW2072825803MaRDI QIDQ387599
Nguyen Kim Ngoc, Buj Suan Khaj
Publication date: 23 December 2013
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-013-0576-2
free subgroupssubnormal subgroupsmultiplicative groups of division ringsTits alternativeinfinite-dimensional division algebras
Subgroup theorems; subgroup growth (20E07) Infinite-dimensional and general division rings (16K40) Free nonabelian groups (20E05) Units, groups of units (associative rings and algebras) (16U60)
Related Items (7)
Maximal subgroups of almost subnormal subgroups in division rings ⋮ A note on locally soluble almost subnormal subgroups in divsion rings ⋮ On the algebraicity of bounded degree in division rings ⋮ Multiplicative subgroups in weakly locally finite division rings ⋮ Free subgroups in almost subnormal subgroups of general skew linear groups ⋮ Permutable subgroups in \(\mathrm{GL}_n (D)\) and applications to locally finite group algebras ⋮ Free subgroups in maximal subgroups of SLn(D)
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- On Subgroups of the Multiplicative Group of Skew Fields
- Free subgroups of division algebras
- Rings with a polynomial identity
- Minimal Identities for Algebras
- Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)
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