Free subgroups in almost subnormal subgroups of general skew linear groups

DOI10.1090/spmj/1468zbMath1375.20052arXiv1602.03639OpenAlexW2964199838MaRDI QIDQ5348753

Mai Hoang Bien, Nguyen Kim Ngoc, Buj Suan Khaj

Publication date: 21 August 2017

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03639

zbMATH Keywords

division ringslinear groupsgeneralized group identityalmost subnormal subgroupsnoncyclic free subgroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Infinite-dimensional and general division rings (16K40) Chains and lattices of subgroups, subnormal subgroups (20E15) Free nonabelian groups (20E05)

Related Items (13)

Maximal subgroups of almost subnormal subgroups in division rings ⋮ A note on locally soluble almost subnormal subgroups in divsion rings ⋮ Almost subnormal subgroups in division rings with generalized algebraic rational identities ⋮ A note on skew linear groups of finite rank ⋮ Multiplicative subgroups in weakly locally finite division rings ⋮ Permutable subgroups in \(\mathrm{GL}_n (D)\) and applications to locally finite group algebras ⋮ Locally solvable maximal subgroups in division rings ⋮ Free subgroups in maximal subgroups of skew linear groups ⋮ Subpermutable subgroups of skew linear groups and unit groups of real group algebras ⋮ Generalized power central group identities in almost subnormal subgroups of $\operatorname {GL}_n(D)$ ⋮ Intersection graphs of general linear groups ⋮ Locally solvable and solvable-by-finite maximal subgroups of \(\mathrm{GL}_n (D)\) ⋮ Unnamed Item

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